References:

1 Installed Packages and Libraries

2 Motivation for this Tutorial

Business Forecasting is a central data science task and has to consider many activities within an company. A Forecast is a complex problem for machines and most analysts. Typical business examples where a forecast is needed are effective capacity planning, goal setting which needs a baseline for performance measurement and anomaly detection, etc. The Business Analysts have ususally a deep domain expertise but hardly knowledge of time series forecasting techniques which is a challenge in order to produce a high-quality forecast. [Taylor/Letham 1, page 1]

This lack of knowledge of many Business Analysts is the major motivation of this tutorial. The Tutorial shall provide useful guidance how to produce in a simply way a time series forecast of good quality.

3 Introduction

"Prophet is a recently from Facebook developed procedure for forecasting time series data based on an additive model where non-linear trends are fit with yearly, weekly, and daily seasonality, plus holiday effects.

According to Facebook, it works best with time series that have strong seasonal effects and several seasons of historical data. Prophet is robust to missing data and shifts in the trend, and typically handles outliers well.

Prophet is open source software released by Facebook’s Core Data Science team." [Kirenz]

How To forecast with Prophet:

In R, we use the normal model fitting API. We provide a prophet function that performs fitting and returns a model object. You can then call predict and plot on this model object." [FB]

4 Import data

First step of this tuturial is to read in the data and to create the outcome variable. As data set we use the wikipedia log number of views of Peypton Manning who is an ex US American Football Player.

Source:
- Peyton Manning at Wikipedia
- Data from github

Peyton Williams Manning (born March 24, 1976 in New Orleans, Louisiana) is a former American football player on the quarterback’s position. He played 14 years for the Indianapolis Colts in the National Football League (NFL) and won with them the Super Bowl XLI. He then played four years for the Denver Broncos, with whom he won the 2016 Super Bowl 50 in his last season. []

Apply the function read.table() with the option to choose the file directly from the local directory, header is True and the separator is in our data file a comma.

5 Data Examination

Apply the function View() to visualize the data in a separate table tab and dim() to understand how many observations the dataframe contains:

## [1] 2905    2

The dataframe contains 2 columns ds and y, which contain the date and the associated numeric value. There are 2905 oberserations in Total.

Table format looks ok, data is properly separated and the table has a valid header.

Apply the function str() to get a brief glimpse on the data:

## 'data.frame':    2905 obs. of  2 variables:
##  $ ds: Factor w/ 2905 levels "2007-12-10","2007-12-11",..: 1 2 3 4 5 6 7 8 9 10 ...
##  $ y : num  9.59 8.52 8.18 8.07 7.89 ...

The date column “ds” is currently stored as a “Factor” data type.

Prerequisition for Prophet:

“Prophet needs as input a dataframe with columns for date (ds) and the associated numeric values (y). The date format needs to be YYYY-MM-DD for a date or YYYY-MM-DD HH:MM:SS for a timestamp.” [FB]

To ensure to have the proper date format and also for better visualization purposes this should be converted to a “date-time” class which can be displayed as a continuous variable.

Apply the function as.Date() on the column “ds” which holds the date information and replace the old values:

## 'data.frame':    2905 obs. of  2 variables:
##  $ ds: Date, format: "2007-12-10" "2007-12-11" ...
##  $ y : num  9.59 8.52 8.18 8.07 7.89 ...

The data type has been successfully changed from “Factor” to “Date”.

Apply the function head() to retrieve only the first 6 values from the data set to check the data:

##           ds        y
## 1 2007-12-10 9.590761
## 2 2007-12-11 8.519590
## 3 2007-12-12 8.183677
## 4 2007-12-13 8.072467
## 5 2007-12-14 7.893572
## 6 2007-12-15 7.783641

or a certain column:

## [1] "2007-12-10" "2007-12-11" "2007-12-12" "2007-12-13" "2007-12-14"
## [6] "2007-12-15"

For the last few rows use tail() instead.

There are more alternative ways to show the data. Call the name of the dataset to retrieve all values or only a certain column. Alternatively print() can be used as well.

Another option is to generate a table as output, where you can navigate through the rows. Apply the function datatable() to check the values of the data:

Apply the function summary() to retrieve a brief statistical summary of the data for Min, Max, Mean, 1st and 3rd Quartile on the dataframe:

##        ds                   y         
##  Min.   :2007-12-10   Min.   : 5.263  
##  1st Qu.:2010-01-12   1st Qu.: 7.515  
##  Median :2012-01-23   Median : 7.998  
##  Mean   :2012-01-15   Mean   : 8.139  
##  3rd Qu.:2014-01-21   3rd Qu.: 8.580  
##  Max.   :2016-01-20   Max.   :12.847

In case that the Minimum “Min” would be zero, it has to be decided if this needs to be cleaned up or not.

Although Facebooks Prophet is robust against missing values, other forecast models like ARIMA would require that missing data need to be handled to have the right forecast. For demonstration purposes we assign NA to all data points where the observation in the dataframe is zero:

6 Data Visualization

It is a good practice to plot the data and understand how they look like before fitting any models. Apply the function ggplot() here with a selection of simple attributes to define the layout of the scatter plot:

Some sources for how to change the aestethic:
- Cheatsheet
- Grafiken mit ggplot aus dem package library(ggplot2)
- ggplot2 part of tidyverse
- Aesthetic specifications

Apply the function ggplotly() to create a plotly object, adjust the size and make the plot interactive, see also ggplotly:

In case the data set would have several columns and we would like to reduce the data set only to the needed columns, just create a new data frame with the needed values for date and observation.

Not needed here for the excercise but for demonstration purposes done:

Store the values for “date” in the variable “ds” for data stamp information:

Logarithmic scales

If the observations have a wide spread over several orders of magnitude, with some observations having a much higher value than others, it’s a practical approach to convert the axis on a log scale. See also wikipedia for logarithmic scales

Store the values for “observations” in the variable “y” and use the log() function to convert those to a log scale:

Save the 2 variables as new dataframe “df”

Print again the scatter plot for the dataframe “df”.

If the initial data had a wide spread on the observations the seasonality would be now much more visible. Our data didn’t had such a wide spread, therefore the plots are more or less identically.

As there seems to be no difference we continue with the historical dataframe “data” with initial decimal scale.

7 Prophet FCST - fit the Model

Basically Prophet provides a very simple interface: with a column of dates and a column of associated numbers it produces a forecast for the time series.

First step is to fit a model on the historical data. It can be done by calling the prophet() function using the dataframe as the input. [FB]

Store the model for the dataframe “data” in “m” by applying the prophet() function:

## Disabling daily seasonality. Run prophet with daily.seasonality=TRUE to override this.

Have a look into the model and its details:

## $growth
## [1] "linear"
## 
## $changepoints
##  [1] "2008-03-17 GMT" "2008-06-20 GMT" "2008-10-11 GMT" "2009-01-14 GMT"
##  [5] "2009-04-17 GMT" "2009-07-19 GMT" "2009-10-26 GMT" "2010-01-31 GMT"
##  [9] "2010-05-06 GMT" "2010-08-14 GMT" "2010-11-15 GMT" "2011-02-16 GMT"
## [13] "2011-05-20 GMT" "2011-08-21 GMT" "2011-11-24 GMT" "2012-02-27 GMT"
## [17] "2012-05-31 GMT" "2012-09-01 GMT" "2012-12-02 GMT" "2013-03-05 GMT"
## [21] "2013-06-06 GMT" "2013-09-08 GMT" "2013-12-10 GMT" "2014-03-14 GMT"
## [25] "2014-06-15 GMT"
## 
## $n.changepoints
## [1] 25
## 
## $changepoint.range
## [1] 0.8
## 
## $yearly.seasonality
## [1] "auto"
## 
## $weekly.seasonality
## [1] "auto"
## 
## $daily.seasonality
## [1] "auto"
## 
## $holidays
## NULL
## 
## $seasonality.mode
## [1] "additive"
## 
## $seasonality.prior.scale
## [1] 10
## 
## $changepoint.prior.scale
## [1] 0.05
## 
## $holidays.prior.scale
## [1] 10
## 
## $mcmc.samples
## [1] 0
## 
## $interval.width
## [1] 0.8
## 
## $uncertainty.samples
## [1] 1000
## 
## $specified.changepoints
## [1] FALSE
## 
## $start
## [1] "2007-12-10 GMT"
## 
## $y.scale
## [1] 12.84675
## 
## $logistic.floor
## [1] FALSE
## 
## $t.scale
## [1] 256003200
## 
## $changepoints.t
##  [1] 0.03307459 0.06513669 0.10327371 0.13533581 0.16672292 0.19811002
##  [7] 0.23152211 0.26425920 0.29632130 0.33007087 0.36145798 0.39284509
## [13] 0.42423220 0.45561930 0.48768140 0.51974350 0.55146811 0.58285521
## [19] 0.61390483 0.64529193 0.67667904 0.70840364 0.73979075 0.77151536
## [25] 0.80290246
## 
## $seasonalities
## $seasonalities$yearly
## $seasonalities$yearly$period
## [1] 365.25
## 
## $seasonalities$yearly$fourier.order
## [1] 10
## 
## $seasonalities$yearly$prior.scale
## [1] 10
## 
## $seasonalities$yearly$mode
## [1] "additive"
## 
## $seasonalities$yearly$condition.name
## NULL
## 
## 
## $seasonalities$weekly
## $seasonalities$weekly$period
## [1] 7
## 
## $seasonalities$weekly$fourier.order
## [1] 3
## 
## $seasonalities$weekly$prior.scale
## [1] 10
## 
## $seasonalities$weekly$mode
## [1] "additive"
## 
## $seasonalities$weekly$condition.name
## NULL
## 
## 
## 
## $extra_regressors
## list()
## 
## $country_holidays
## NULL
## 
## $stan.fit
## NULL
## 
## $params
## $params$k
## [1] -0.3584556
## 
## $params$m
## [1] 0.6259492
## 
## $params$delta
##               [,1]          [,2]      [,3]      [,4]          [,5]
## [1,] -8.398299e-08 -1.851913e-07 0.3571925 0.4607287 -3.735725e-07
##             [,6]       [,7]       [,8]          [,9]         [,10]
## [1,] -0.01223985 -0.2349305 -0.2429344 -1.182504e-07 -3.070881e-07
##             [,11]     [,12]     [,13]      [,14]       [,15]      [,16]
## [1,] 5.409423e-08 0.2888078 0.1934743 0.01064703 0.001426986 -0.8134522
##            [,17]         [,18]         [,19]     [,20]      [,21]
## [1,] -0.02585546 -1.355635e-07 -7.184145e-09 0.4537572 0.02575439
##              [,22]      [,23]         [,24]        [,25]
## [1,] -1.844968e-07 -0.3427033 -4.680586e-08 1.040709e-07
## 
## $params$sigma_obs
## [1] 0.03766023
## 
## $params$beta
##             [,1]       [,2]       [,3]         [,4]       [,5]       [,6]
## [1,] -0.03001406 0.04826619 0.01001488 -0.002290085 0.01253803 0.01558702
##             [,7]         [,8]        [,9]        [,10]       [,11]
## [1,] 0.009503642 0.0007544993 0.003915751 -0.005872114 0.007540058
##             [,12]       [,13]        [,14]        [,15]        [,16]
## [1,] -0.005241938 0.002085084 -0.004777215 -0.004105453 -0.007768402
##              [,17]       [,18]       [,19]       [,20]       [,21]
## [1,] -0.0008130809 0.001254038 0.001872696 0.006984095 -0.01233714
##            [,22]       [,23]       [,24]        [,25]        [,26]
## [1,] -0.01057169 0.009385614 0.008470351 0.0008801547 -0.003523281
## 
## 
## $history
##              ds         y floor            t  y_scaled
## 1    2007-12-10  9.590761     0 0.0000000000 0.7465517
## 2    2007-12-11  8.519590     0 0.0003374958 0.6631710
## 3    2007-12-12  8.183677     0 0.0006749916 0.6370233
## 4    2007-12-13  8.072467     0 0.0010124873 0.6283667
## 5    2007-12-14  7.893572     0 0.0013499831 0.6144413
## 6    2007-12-15  7.783641     0 0.0016874789 0.6058842
## 7    2007-12-16  8.414052     0 0.0020249747 0.6549559
## 8    2007-12-17  8.829226     0 0.0023624705 0.6872733
## 9    2007-12-18  8.382518     0 0.0026999663 0.6525012
## 10   2007-12-19  8.069655     0 0.0030374620 0.6281478
## 11   2007-12-20  7.879291     0 0.0033749578 0.6133297
## 12   2007-12-21  7.761745     0 0.0037124536 0.6041798
## 13   2007-12-22  7.529406     0 0.0040499494 0.5860944
## 14   2007-12-23  8.385261     0 0.0043874452 0.6527147
## 15   2007-12-24  8.620111     0 0.0047249409 0.6709956
## 16   2007-12-25  7.852439     0 0.0050624367 0.6112395
## 17   2007-12-26  7.853993     0 0.0053999325 0.6113605
## 18   2007-12-27  8.051978     0 0.0057374283 0.6267718
## 19   2007-12-28  7.926603     0 0.0060749241 0.6170124
## 20   2007-12-29  7.838343     0 0.0064124198 0.6101423
## 21   2007-12-30  9.703145     0 0.0067499156 0.7552997
## 22   2007-12-31  9.385973     0 0.0070874114 0.7306109
## 23   2008-01-01  8.293800     0 0.0074249072 0.6455953
## 24   2008-01-02  8.434681     0 0.0077624030 0.6565616
## 25   2008-01-03  8.262043     0 0.0080998988 0.6431233
## 26   2008-01-04  8.106816     0 0.0084373945 0.6310404
## 27   2008-01-05  7.950150     0 0.0087748903 0.6188454
## 28   2008-01-06  9.509259     0 0.0091123861 0.7402076
## 29   2008-01-07  8.846785     0 0.0094498819 0.6886401
## 30   2008-01-08  8.430545     0 0.0097873777 0.6562397
## 31   2008-01-09  8.248267     0 0.0101248734 0.6420511
## 32   2008-01-10  8.281724     0 0.0104623692 0.6446553
## 33   2008-01-11  8.292799     0 0.0107998650 0.6455174
## 34   2008-01-12  8.199189     0 0.0111373608 0.6382308
## 35   2008-01-13  9.996522     0 0.0114748566 0.7781365
## 36   2008-01-14 10.127071     0 0.0118123523 0.7882985
## 37   2008-01-15  8.933796     0 0.0121498481 0.6954131
## 38   2008-01-16  8.566174     0 0.0124873439 0.6667971
## 39   2008-01-17  8.547722     0 0.0128248397 0.6653608
## 40   2008-01-18  8.399760     0 0.0131623355 0.6538434
## 41   2008-01-19  8.223091     0 0.0134998313 0.6400913
## 42   2008-01-20  8.838987     0 0.0138373270 0.6880331
## 43   2008-01-21 10.897202     0 0.0141748228 0.8482460
## 44   2008-01-22  9.444938     0 0.0145123186 0.7352008
## 45   2008-01-23  8.923325     0 0.0148498144 0.6945980
## 46   2008-01-24  8.543446     0 0.0151873102 0.6650279
## 47   2008-01-25  8.495561     0 0.0155248059 0.6613006
## 48   2008-01-26  8.417373     0 0.0158623017 0.6552143
## 49   2008-01-27  8.572628     0 0.0161997975 0.6672995
## 50   2008-01-28  8.736489     0 0.0165372933 0.6800546
## 51   2008-01-29  8.634087     0 0.0168747891 0.6720835
## 52   2008-01-30  8.673513     0 0.0172122848 0.6751525
## 53   2008-02-01  8.824237     0 0.0178872764 0.6868849
## 54   2008-02-02  8.537976     0 0.0182247722 0.6646022
## 55   2008-02-03  9.698061     0 0.0185622680 0.7549040
## 56   2008-02-04 12.097457     0 0.0188997638 0.9416747
## 57   2008-02-05 10.635278     0 0.0192372595 0.8278577
## 58   2008-02-06  9.691717     0 0.0195747553 0.7544102
## 59   2008-02-07  9.315601     0 0.0199122511 0.7251331
## 60   2008-02-08  8.970813     0 0.0202497469 0.6982946
## 61   2008-02-09  8.589142     0 0.0205872427 0.6685850
## 62   2008-02-10  8.617400     0 0.0209247384 0.6707846
## 63   2008-02-11  8.616314     0 0.0212622342 0.6707001
## 64   2008-02-12  8.215547     0 0.0215997300 0.6395041
## 65   2008-02-13  8.064951     0 0.0219372258 0.6277816
## 66   2008-02-14  8.113427     0 0.0222747216 0.6315550
## 67   2008-02-15  7.799343     0 0.0226122173 0.6071065
## 68   2008-02-16  7.627544     0 0.0229497131 0.5937335
## 69   2008-02-17  7.555905     0 0.0232872089 0.5881571
## 70   2008-02-18  7.711549     0 0.0236247047 0.6002725
## 71   2008-02-19  7.788626     0 0.0239622005 0.6062722
## 72   2008-02-20  7.708411     0 0.0242996963 0.6000282
## 73   2008-02-21  7.768533     0 0.0246371920 0.6047082
## 74   2008-02-22  7.695303     0 0.0249746878 0.5990079
## 75   2008-02-23  7.378384     0 0.0253121836 0.5743387
## 76   2008-02-24  7.910591     0 0.0256496794 0.6157661
## 77   2008-02-25  7.626570     0 0.0259871752 0.5936577
## 78   2008-02-26  7.573531     0 0.0263246709 0.5895291
## 79   2008-02-27  7.567863     0 0.0266621667 0.5890879
## 80   2008-02-29  7.552237     0 0.0273371583 0.5878716
## 81   2008-03-02  7.336937     0 0.0280121498 0.5711124
## 82   2008-03-05  8.124743     0 0.0290246372 0.6324358
## 83   2008-03-06  7.887584     0 0.0293621330 0.6139752
## 84   2008-03-07  7.819636     0 0.0296996288 0.6086861
## 85   2008-03-08  7.383989     0 0.0300371245 0.5747750
## 86   2008-03-09  7.814400     0 0.0303746203 0.6082785
## 87   2008-03-10  7.542213     0 0.0307121161 0.5870913
## 88   2008-03-11  7.548556     0 0.0310496119 0.5875850
## 89   2008-03-12  7.688913     0 0.0313871077 0.5985105
## 90   2008-03-13  7.477038     0 0.0317246034 0.5820180
## 91   2008-03-14  7.358831     0 0.0320620992 0.5728167
## 92   2008-03-15  7.032624     0 0.0323995950 0.5474245
## 93   2008-03-16  7.118016     0 0.0327370908 0.5540715
## 94   2008-03-17  7.349874     0 0.0330745866 0.5721194
## 95   2008-03-18  7.326466     0 0.0334120823 0.5702973
## 96   2008-03-19  7.363914     0 0.0337495781 0.5732123
## 97   2008-03-20  7.277939     0 0.0340870739 0.5665200
## 98   2008-03-21  7.251345     0 0.0344245697 0.5644499
## 99   2008-03-22  7.002156     0 0.0347620655 0.5450528
## 100  2008-03-23  7.163947     0 0.0350995613 0.5576468
## 101  2008-03-24  7.759187     0 0.0354370570 0.6039807
## 102  2008-03-25  7.518607     0 0.0357745528 0.5852538
## 103  2008-03-26  7.413970     0 0.0361120486 0.5771088
## 104  2008-03-27  7.442493     0 0.0364495444 0.5793290
## 105  2008-03-28  7.228388     0 0.0367870402 0.5626629
## 106  2008-03-29  6.991177     0 0.0371245359 0.5441982
## 107  2008-03-30  7.211557     0 0.0374620317 0.5613528
## 108  2008-03-31  7.311218     0 0.0377995275 0.5691105
## 109  2008-04-01  7.349231     0 0.0381370233 0.5720694
## 110  2008-04-02  7.514255     0 0.0384745191 0.5849150
## 111  2008-04-03  7.393263     0 0.0388120148 0.5754969
## 112  2008-04-04  7.286192     0 0.0391495106 0.5671624
## 113  2008-04-05  7.273093     0 0.0394870064 0.5661427
## 114  2008-04-06  7.168580     0 0.0398245022 0.5580074
## 115  2008-04-07  7.611348     0 0.0401619980 0.5924728
## 116  2008-04-08  7.617760     0 0.0404994938 0.5929719
## 117  2008-04-09  7.425954     0 0.0408369895 0.5780416
## 118  2008-04-10  8.182000     0 0.0411744853 0.6368928
## 119  2008-04-11  7.399398     0 0.0415119811 0.5759745
## 120  2008-04-12  7.106606     0 0.0418494769 0.5531833
## 121  2008-04-13  7.080868     0 0.0421869727 0.5511798
## 122  2008-04-14  7.421178     0 0.0425244684 0.5776698
## 123  2008-04-15  7.491645     0 0.0428619642 0.5831551
## 124  2008-04-16  7.385851     0 0.0431994600 0.5749199
## 125  2008-04-17  7.682943     0 0.0435369558 0.5980458
## 126  2008-04-18  7.688913     0 0.0438744516 0.5985105
## 127  2008-04-19  7.259116     0 0.0442119474 0.5650548
## 128  2008-04-20  8.144969     0 0.0445494431 0.6340103
## 129  2008-04-21  8.713911     0 0.0448869389 0.6782971
## 130  2008-04-22  8.091015     0 0.0452244347 0.6298104
## 131  2008-04-23  7.840313     0 0.0455619305 0.6102956
## 132  2008-04-24  7.648740     0 0.0458994263 0.5953834
## 133  2008-04-25  8.020928     0 0.0462369220 0.6243548
## 134  2008-04-26  7.830028     0 0.0465744178 0.6094950
## 135  2008-04-27  7.727535     0 0.0469119136 0.6015169
## 136  2008-04-28  7.835975     0 0.0472494094 0.6099579
## 137  2008-04-29  7.626570     0 0.0475869052 0.5936577
## 138  2008-04-30  7.644441     0 0.0479244009 0.5950488
## 139  2008-05-01  7.548556     0 0.0482618967 0.5875850
## 140  2008-05-02  7.440734     0 0.0485993925 0.5791921
## 141  2008-05-03  7.073270     0 0.0489368883 0.5505884
## 142  2008-05-04  7.026427     0 0.0492743841 0.5469421
## 143  2008-05-05  7.392032     0 0.0496118799 0.5754010
## 144  2008-05-06  7.293018     0 0.0499493756 0.5676937
## 145  2008-05-07  7.361375     0 0.0502868714 0.5730147
## 146  2008-05-08  7.512618     0 0.0506243672 0.5847875
## 147  2008-05-09  7.460490     0 0.0509618630 0.5807299
## 148  2008-05-10  7.114769     0 0.0512993588 0.5538188
## 149  2008-05-11  7.125283     0 0.0516368545 0.5546372
## 150  2008-05-12  7.455877     0 0.0519743503 0.5803708
## 151  2008-05-13  7.317212     0 0.0523118461 0.5695771
## 152  2008-05-14  7.410347     0 0.0526493419 0.5768267
## 153  2008-05-15  7.402452     0 0.0529868377 0.5762121
## 154  2008-05-16  7.294377     0 0.0533243334 0.5677996
## 155  2008-05-17  6.989335     0 0.0536618292 0.5440549
## 156  2008-05-18  6.993015     0 0.0539993250 0.5443413
## 157  2008-05-19  7.431300     0 0.0543368208 0.5784577
## 158  2008-05-20  7.362011     0 0.0546743166 0.5730642
## 159  2008-05-21  7.454720     0 0.0550118124 0.5802808
## 160  2008-05-22  7.368340     0 0.0553493081 0.5735569
## 161  2008-05-23  7.143618     0 0.0556868039 0.5560643
## 162  2008-05-24  6.835185     0 0.0560242997 0.5320557
## 163  2008-05-25  6.890609     0 0.0563617955 0.5363700
## 164  2008-05-26  6.974479     0 0.0566992913 0.5428984
## 165  2008-05-27  7.266129     0 0.0570367870 0.5656007
## 166  2008-05-28  7.270313     0 0.0573742828 0.5659264
## 167  2008-05-29  7.265430     0 0.0577117786 0.5655463
## 168  2008-05-30  7.157735     0 0.0580492744 0.5571633
## 169  2008-05-31  6.865891     0 0.0583867702 0.5344459
## 170  2008-06-03  7.153834     0 0.0593992575 0.5568596
## 171  2008-06-04  7.216709     0 0.0597367533 0.5617538
## 172  2008-06-05  7.201916     0 0.0600742491 0.5606023
## 173  2008-06-06  7.212294     0 0.0604117449 0.5614102
## 174  2008-06-07  7.186144     0 0.0607492406 0.5593746
## 175  2008-06-08  6.820016     0 0.0610867364 0.5308750
## 176  2008-06-09  6.882437     0 0.0614242322 0.5357339
## 177  2008-06-10  7.183112     0 0.0617617280 0.5591386
## 178  2008-06-11  7.242798     0 0.0620992238 0.5637846
## 179  2008-06-12  7.192934     0 0.0624367195 0.5599032
## 180  2008-06-13  7.183871     0 0.0627742153 0.5591977
## 181  2008-06-14  6.970730     0 0.0631117111 0.5426066
## 182  2008-06-15  6.917706     0 0.0634492069 0.5384792
## 183  2008-06-16  7.222566     0 0.0637867027 0.5622097
## 184  2008-06-17  7.356918     0 0.0641241984 0.5726678
## 185  2008-06-18  7.242798     0 0.0644616942 0.5637846
## 186  2008-06-19  7.223296     0 0.0647991900 0.5622665
## 187  2008-06-20  7.163172     0 0.0651366858 0.5575865
## 188  2008-06-21  7.241366     0 0.0654741816 0.5636731
## 189  2008-06-22  6.986566     0 0.0658116774 0.5438393
## 190  2008-06-23  6.963190     0 0.0661491731 0.5420197
## 191  2008-06-24  7.250636     0 0.0664866689 0.5643947
## 192  2008-06-25  7.160846     0 0.0668241647 0.5574054
## 193  2008-06-26  7.132498     0 0.0671616605 0.5551987
## 194  2008-06-27  7.091742     0 0.0674991563 0.5520263
## 195  2008-06-28  7.012115     0 0.0678366520 0.5458281
## 196  2008-06-29  6.857514     0 0.0681741478 0.5337938
## 197  2008-06-30  6.827629     0 0.0685116436 0.5314676
## 198  2008-07-02  7.130099     0 0.0691866352 0.5550120
## 199  2008-07-03  7.277248     0 0.0695241309 0.5664662
## 200  2008-07-04  7.038784     0 0.0698616267 0.5479040
## 201  2008-07-05  6.890609     0 0.0701991225 0.5363700
## 202  2008-07-06  6.957497     0 0.0705366183 0.5415766
## 203  2008-07-07  7.295735     0 0.0708741141 0.5679053
## 204  2008-07-08  7.497207     0 0.0712116099 0.5835880
## 205  2008-07-09  7.310550     0 0.0715491056 0.5690585
## 206  2008-07-10  7.204893     0 0.0718866014 0.5608340
## 207  2008-07-11  7.222566     0 0.0722240972 0.5622097
## 208  2008-07-12  7.257708     0 0.0725615930 0.5649452
## 209  2008-08-01  7.425954     0 0.0793115086 0.5780416
## 210  2008-08-02  7.117206     0 0.0796490044 0.5540084
## 211  2008-08-03  7.249926     0 0.0799865002 0.5643394
## 212  2008-08-04  8.276903     0 0.0803239960 0.6442801
## 213  2008-08-05  7.606387     0 0.0806614917 0.5920867
## 214  2008-08-06  7.643962     0 0.0809989875 0.5950115
## 215  2008-08-07  8.012350     0 0.0813364833 0.6236870
## 216  2008-08-08  7.930206     0 0.0816739791 0.6172929
## 217  2008-08-09  7.508787     0 0.0820114749 0.5844894
## 218  2008-08-10  7.521318     0 0.0823489706 0.5854648
## 219  2008-08-11  7.589842     0 0.0826864664 0.5907987
## 220  2008-08-12  7.500529     0 0.0830239622 0.5838466
## 221  2008-08-13  7.370231     0 0.0833614580 0.5737040
## 222  2008-08-14  7.385231     0 0.0836989538 0.5748717
## 223  2008-08-15  7.302496     0 0.0840364495 0.5684316
## 224  2008-08-16  7.275172     0 0.0843739453 0.5663046
## 225  2008-08-17  7.392032     0 0.0847114411 0.5754010
## 226  2008-08-18  7.516977     0 0.0850489369 0.5851269
## 227  2008-08-19  7.909122     0 0.0853864327 0.6156517
## 228  2008-08-20  7.723120     0 0.0857239285 0.6011732
## 229  2008-08-21  7.670429     0 0.0860614242 0.5970717
## 230  2008-08-22  7.629004     0 0.0863989200 0.5938471
## 231  2008-08-23  7.430707     0 0.0867364158 0.5784116
## 232  2008-08-24  7.579679     0 0.0870739116 0.5900076
## 233  2008-08-25  7.948385     0 0.0874114074 0.6187080
## 234  2008-08-26  7.795647     0 0.0877489031 0.6068187
## 235  2008-08-27  8.007367     0 0.0880863989 0.6232992
## 236  2008-08-28  7.790696     0 0.0884238947 0.6064334
## 237  2008-08-29  7.832808     0 0.0887613905 0.6097114
## 238  2008-08-30  7.514800     0 0.0890988863 0.5849574
## 239  2008-08-31  7.627544     0 0.0894363820 0.5937335
## 240  2008-09-01  7.855157     0 0.0897738778 0.6114511
## 241  2008-09-02  7.964851     0 0.0901113736 0.6199897
## 242  2008-09-03  7.745868     0 0.0904488694 0.6029439
## 243  2008-09-04  8.080856     0 0.0907863652 0.6290197
## 244  2008-09-05  8.259976     0 0.0911238610 0.6429624
## 245  2008-09-06  7.769801     0 0.0914613567 0.6048069
## 246  2008-09-07  8.177516     0 0.0917988525 0.6365437
## 247  2008-09-08  9.281730     0 0.0921363483 0.7224966
## 248  2008-09-09  8.338545     0 0.0924738441 0.6490783
## 249  2008-09-10  7.830426     0 0.0928113399 0.6095260
## 250  2008-09-11  7.808729     0 0.0931488356 0.6078371
## 251  2008-09-12  7.816820     0 0.0934863314 0.6084669
## 252  2008-09-13  7.554859     0 0.0938238272 0.5880756
## 253  2008-09-14  8.555067     0 0.0941613230 0.6659325
## 254  2008-09-15  8.207947     0 0.0944988188 0.6389125
## 255  2008-09-16  8.083637     0 0.0948363145 0.6292361
## 256  2008-09-17  7.791110     0 0.0951738103 0.6064656
## 257  2008-09-18  7.670895     0 0.0955113061 0.5971080
## 258  2008-09-19  7.640123     0 0.0958488019 0.5947127
## 259  2008-09-20  7.550135     0 0.0961862977 0.5877080
## 260  2008-09-21  8.249314     0 0.0965237935 0.6421325
## 261  2008-09-22  8.304000     0 0.0968612892 0.6463893
## 262  2008-09-23  8.126814     0 0.0971987850 0.6325970
## 263  2008-09-24  7.706163     0 0.0975362808 0.5998533
## 264  2008-09-25  7.663877     0 0.0978737766 0.5965617
## 265  2008-09-26  7.526718     0 0.0982112724 0.5858851
## 266  2008-09-27  7.925880     0 0.0985487681 0.6169562
## 267  2008-09-28  7.921536     0 0.0988862639 0.6166180
## 268  2008-09-29  8.033983     0 0.0992237597 0.6253710
## 269  2008-09-30  7.725771     0 0.0995612555 0.6013796
## 270  2008-10-01  7.694393     0 0.0998987513 0.5989371
## 271  2008-10-02  7.449498     0 0.1002362470 0.5798743
## 272  2008-10-03  7.391415     0 0.1005737428 0.5753531
## 273  2008-10-04  7.346010     0 0.1009112386 0.5718187
## 274  2008-10-05  8.101375     0 0.1012487344 0.6306168
## 275  2008-10-06  8.156510     0 0.1015862302 0.6349086
## 276  2008-10-07  7.971086     0 0.1019237260 0.6204750
## 277  2008-10-08  7.872836     0 0.1022612217 0.6128272
## 278  2008-10-09  7.635304     0 0.1025987175 0.5943375
## 279  2008-10-10  7.587817     0 0.1029362133 0.5906411
## 280  2008-10-11  7.342132     0 0.1032737091 0.5715168
## 281  2008-10-12  8.177516     0 0.1036112049 0.6365437
## 282  2008-10-13  8.340933     0 0.1039487006 0.6492642
## 283  2008-10-14  8.476580     0 0.1042861964 0.6598230
## 284  2008-10-15  7.873598     0 0.1046236922 0.6128865
## 285  2008-10-16  7.717351     0 0.1049611880 0.6007242
## 286  2008-10-17  7.490529     0 0.1052986838 0.5830682
## 287  2008-10-18  7.375882     0 0.1056361795 0.5741440
## 288  2008-10-19  8.075583     0 0.1059736753 0.6286091
## 289  2008-10-20  8.165364     0 0.1063111711 0.6355978
## 290  2008-10-23  7.585281     0 0.1073236585 0.5904437
## 291  2008-10-24  7.607381     0 0.1076611542 0.5921640
## 292  2008-10-25  7.267525     0 0.1079986500 0.5657094
## 293  2008-10-26  8.040125     0 0.1083361458 0.6258491
## 294  2008-10-27  8.109225     0 0.1086736416 0.6312279
## 295  2008-10-28  8.806873     0 0.1090111374 0.6855333
## 296  2008-10-29  7.747165     0 0.1093486331 0.6030449
## 297  2008-10-30  7.480992     0 0.1096861289 0.5823258
## 298  2008-10-31  7.346655     0 0.1100236247 0.5718689
## 299  2008-11-01  7.247081     0 0.1103611205 0.5641180
## 300  2008-11-02  7.938089     0 0.1106986163 0.6179065
## 301  2008-11-03  9.035630     0 0.1110361120 0.7033399
## 302  2008-11-04  8.041091     0 0.1113736078 0.6259243
## 303  2008-11-05  7.406103     0 0.1117111036 0.5764964
## 304  2008-11-06  7.973844     0 0.1120485994 0.6206898
## 305  2008-11-07  7.768110     0 0.1123860952 0.6046753
## 306  2008-11-08  7.471363     0 0.1127235910 0.5815763
## 307  2008-11-09  8.030084     0 0.1130610867 0.6250675
## 308  2008-11-10  8.729397     0 0.1133985825 0.6795025
## 309  2008-11-11  7.937017     0 0.1137360783 0.6178231
## 310  2008-11-12  7.665285     0 0.1140735741 0.5966713
## 311  2008-11-13  7.580189     0 0.1144110699 0.5900474
## 312  2008-11-14  7.710653     0 0.1147485656 0.6002028
## 313  2008-11-15  7.261225     0 0.1150860614 0.5652190
## 314  2008-11-16  8.046549     0 0.1154235572 0.6263492
## 315  2008-11-17  8.093462     0 0.1157610530 0.6300009
## 316  2008-11-18  7.767264     0 0.1160985488 0.6046094
## 317  2008-11-19  7.496652     0 0.1164360445 0.5835448
## 318  2008-11-20  7.552237     0 0.1167735403 0.5878716
## 319  2008-11-21  7.497207     0 0.1171110361 0.5835880
## 320  2008-11-22  7.312553     0 0.1174485319 0.5692144
## 321  2008-11-23  7.938802     0 0.1177860277 0.6179621
## 322  2008-11-24  9.058703     0 0.1181235235 0.7051360
## 323  2008-11-25  8.194229     0 0.1184610192 0.6378447
## 324  2008-11-26  7.519150     0 0.1187985150 0.5852960
## 325  2008-11-27  7.551187     0 0.1191360108 0.5877898
## 326  2008-11-28  7.713785     0 0.1194735066 0.6004465
## 327  2008-11-29  7.605890     0 0.1198110024 0.5920479
## 328  2008-11-30  8.499029     0 0.1201484981 0.6615705
## 329  2008-12-01  8.291797     0 0.1204859939 0.6454394
## 330  2008-12-02  7.894691     0 0.1208234897 0.6145284
## 331  2008-12-03  7.790282     0 0.1211609855 0.6064012
## 332  2008-12-04  7.655391     0 0.1214984813 0.5959011
## 333  2008-12-05  7.610358     0 0.1218359771 0.5923957
## 334  2008-12-06  7.531016     0 0.1221734728 0.5862197
## 335  2008-12-07  8.231376     0 0.1225109686 0.6407362
## 336  2008-12-08  8.006701     0 0.1228484644 0.6232473
## 337  2008-12-09  7.858641     0 0.1231859602 0.6117222
## 338  2008-12-10  7.697121     0 0.1235234560 0.5991494
## 339  2008-12-11  7.595890     0 0.1238609517 0.5912695
## 340  2008-12-12  7.735870     0 0.1241984475 0.6021657
## 341  2008-12-13  7.351158     0 0.1245359433 0.5722194
## 342  2008-12-14  8.031385     0 0.1248734391 0.6251688
## 343  2008-12-15  8.394347     0 0.1252109349 0.6534220
## 344  2008-12-16  7.823646     0 0.1255484306 0.6089982
## 345  2008-12-17  8.086718     0 0.1258859264 0.6294759
## 346  2008-12-18  7.771489     0 0.1262234222 0.6049383
## 347  2008-12-19  8.688959     0 0.1265609180 0.6763548
## 348  2008-12-20  7.747165     0 0.1268984138 0.6030449
## 349  2008-12-21  7.960673     0 0.1272359096 0.6196645
## 350  2008-12-22  8.624612     0 0.1275734053 0.6713460
## 351  2008-12-23  7.996654     0 0.1279109011 0.6224653
## 352  2008-12-24  7.620705     0 0.1282483969 0.5932012
## 353  2008-12-25  7.431892     0 0.1285858927 0.5785038
## 354  2008-12-26  7.462789     0 0.1289233885 0.5809089
## 355  2008-12-27  7.448916     0 0.1292608842 0.5798290
## 356  2008-12-28  8.251403     0 0.1295983800 0.6422951
## 357  2008-12-29  8.555259     0 0.1299358758 0.6659475
## 358  2008-12-30  8.315811     0 0.1302733716 0.6473087
## 359  2008-12-31  8.309923     0 0.1306108674 0.6468504
## 360  2009-01-01  7.758761     0 0.1309483631 0.6039475
## 361  2009-01-02  8.808220     0 0.1312858589 0.6856381
## 362  2009-01-03  9.121946     0 0.1316233547 0.7100588
## 363  2009-01-04 10.153818     0 0.1319608505 0.7903805
## 364  2009-01-05  9.267854     0 0.1322983463 0.7214164
## 365  2009-01-06  8.434246     0 0.1326358421 0.6565278
## 366  2009-01-07  8.137688     0 0.1329733378 0.6334435
## 367  2009-01-08  8.044947     0 0.1333108336 0.6262245
## 368  2009-01-09  8.228978     0 0.1336483294 0.6405495
## 369  2009-01-10  8.141190     0 0.1339858252 0.6337161
## 370  2009-01-11  9.215626     0 0.1343233210 0.7173510
## 371  2009-01-12  8.732788     0 0.1346608167 0.6797665
## 372  2009-01-13  8.510169     0 0.1349983125 0.6624376
## 373  2009-01-14  8.104099     0 0.1353358083 0.6308289
## 374  2009-01-15  7.950150     0 0.1356733041 0.6188454
## 375  2009-01-16  7.852050     0 0.1360107999 0.6112092
## 376  2009-01-17  7.656337     0 0.1363482956 0.5959748
## 377  2009-01-18  8.044305     0 0.1366857914 0.6261745
## 378  2009-01-19  8.801018     0 0.1370232872 0.6850775
## 379  2009-01-20  7.829630     0 0.1373607830 0.6094641
## 380  2009-01-21  7.777374     0 0.1376982788 0.6053963
## 381  2009-01-22  7.935230     0 0.1380357746 0.6176840
## 382  2009-01-23  7.672292     0 0.1383732703 0.5972168
## 383  2009-01-24  7.388328     0 0.1387107661 0.5751127
## 384  2009-01-25  7.511525     0 0.1390482619 0.5847025
## 385  2009-01-26  7.663408     0 0.1393857577 0.5965252
## 386  2009-01-27  7.789455     0 0.1397232535 0.6063367
## 387  2009-01-28  7.807917     0 0.1400607492 0.6077738
## 388  2009-01-29  7.824846     0 0.1403982450 0.6090916
## 389  2009-01-30  7.906547     0 0.1407357408 0.6154513
## 390  2009-01-31  7.702104     0 0.1410732366 0.5995373
## 391  2009-02-01  8.477620     0 0.1414107324 0.6599041
## 392  2009-02-02  9.149528     0 0.1417482281 0.7122058
## 393  2009-02-03  8.062118     0 0.1420857239 0.6275610
## 394  2009-02-04  8.066521     0 0.1424232197 0.6279038
## 395  2009-02-05  8.059592     0 0.1427607155 0.6273645
## 396  2009-02-06  8.049427     0 0.1430982113 0.6265732
## 397  2009-02-07  7.762171     0 0.1434357071 0.6042129
## 398  2009-02-08  8.097731     0 0.1437732028 0.6303332
## 399  2009-02-09  8.018296     0 0.1441106986 0.6241499
## 400  2009-02-10  7.616776     0 0.1444481944 0.5928953
## 401  2009-02-11  7.842671     0 0.1447856902 0.6104792
## 402  2009-02-12  7.768533     0 0.1451231860 0.6047082
## 403  2009-02-13  7.530480     0 0.1454606817 0.5861780
## 404  2009-02-14  7.332369     0 0.1457981775 0.5707569
## 405  2009-02-15  7.224025     0 0.1461356733 0.5623233
## 406  2009-02-16  7.416378     0 0.1464731691 0.5772962
## 407  2009-02-17  7.427144     0 0.1468106649 0.5781342
## 408  2009-02-18  7.397562     0 0.1471481606 0.5758315
## 409  2009-02-19  7.495542     0 0.1474856564 0.5834584
## 410  2009-02-20  7.399398     0 0.1478231522 0.5759745
## 411  2009-02-21  7.008505     0 0.1481606480 0.5455471
## 412  2009-02-22  7.118016     0 0.1484981438 0.5540715
## 413  2009-02-23  7.483807     0 0.1488356396 0.5825449
## 414  2009-02-24  7.571474     0 0.1491731353 0.5893689
## 415  2009-02-25  7.648263     0 0.1495106311 0.5953463
## 416  2009-02-26  7.474205     0 0.1498481269 0.5817975
## 417  2009-02-27  7.472501     0 0.1501856227 0.5816648
## 418  2009-02-28  7.211557     0 0.1505231185 0.5613528
## 419  2009-03-01  7.343426     0 0.1508606142 0.5716176
## 420  2009-03-02  7.482119     0 0.1511981100 0.5824135
## 421  2009-03-03  7.410952     0 0.1515356058 0.5768738
## 422  2009-03-04  7.403061     0 0.1518731016 0.5762596
## 423  2009-03-05  7.452982     0 0.1522105974 0.5801455
## 424  2009-03-06  7.423568     0 0.1525480931 0.5778559
## 425  2009-03-07  7.085064     0 0.1528855889 0.5515065
## 426  2009-03-08  7.210818     0 0.1532230847 0.5612953
## 427  2009-03-09  7.356280     0 0.1535605805 0.5726181
## 428  2009-03-10  7.304516     0 0.1538980763 0.5685888
## 429  2009-03-11  7.465655     0 0.1542355721 0.5811320
## 430  2009-03-12  7.869019     0 0.1545730678 0.6125301
## 431  2009-03-13  7.248504     0 0.1549105636 0.5642288
## 432  2009-03-14  7.078342     0 0.1552480594 0.5509832
## 433  2009-03-15  7.221105     0 0.1555855552 0.5620960
## 434  2009-03-16  7.334329     0 0.1559230510 0.5709095
## 435  2009-03-17  7.292337     0 0.1562605467 0.5676408
## 436  2009-03-18  7.299121     0 0.1565980425 0.5681689
## 437  2009-03-19  7.283448     0 0.1569355383 0.5669488
## 438  2009-03-20  7.301822     0 0.1572730341 0.5683791
## 439  2009-03-21  7.062192     0 0.1576105299 0.5497261
## 440  2009-03-22  7.181592     0 0.1579480256 0.5590203
## 441  2009-03-23  7.505492     0 0.1582855214 0.5842329
## 442  2009-03-24  7.874739     0 0.1586230172 0.6129753
## 443  2009-03-25  7.578657     0 0.1589605130 0.5899281
## 444  2009-03-26  7.367077     0 0.1592980088 0.5734586
## 445  2009-03-27  7.257003     0 0.1596355046 0.5648903
## 446  2009-03-28  7.056175     0 0.1599730003 0.5492577
## 447  2009-03-29  7.502738     0 0.1603104961 0.5840185
## 448  2009-03-30  7.443078     0 0.1606479919 0.5793746
## 449  2009-03-31  7.481556     0 0.1609854877 0.5823697
## 450  2009-04-01  7.482119     0 0.1613229835 0.5824135
## 451  2009-04-02  7.519150     0 0.1616604792 0.5852960
## 452  2009-04-03  7.659643     0 0.1619979750 0.5962321
## 453  2009-04-04  7.244228     0 0.1623354708 0.5638959
## 454  2009-04-05  7.232733     0 0.1626729666 0.5630011
## 455  2009-04-06  7.342132     0 0.1630104624 0.5715168
## 456  2009-04-07  7.421178     0 0.1633479582 0.5776698
## 457  2009-04-08  7.492203     0 0.1636854539 0.5831985
## 458  2009-04-09  7.315218     0 0.1640229497 0.5694219
## 459  2009-04-10  7.141245     0 0.1643604455 0.5558796
## 460  2009-04-11  7.009409     0 0.1646979413 0.5456174
## 461  2009-04-12  7.087574     0 0.1650354371 0.5517018
## 462  2009-04-13  7.304516     0 0.1653729328 0.5685888
## 463  2009-04-14  7.374629     0 0.1657104286 0.5740464
## 464  2009-04-15  7.512618     0 0.1660479244 0.5847875
## 465  2009-04-16  7.517521     0 0.1663854202 0.5851692
## 466  2009-04-17  7.374002     0 0.1667229160 0.5739976
## 467  2009-04-18  7.141245     0 0.1670604117 0.5558796
## 468  2009-04-19  7.161622     0 0.1673979075 0.5574658
## 469  2009-04-20  7.484930     0 0.1677354033 0.5826323
## 470  2009-04-21  7.512618     0 0.1680728991 0.5847875
## 471  2009-04-22  7.444833     0 0.1684103949 0.5795112
## 472  2009-04-23  7.474205     0 0.1687478907 0.5817975
## 473  2009-04-24  7.671827     0 0.1690853864 0.5971805
## 474  2009-04-25  7.842279     0 0.1694228822 0.6104486
## 475  2009-04-26  7.924072     0 0.1697603780 0.6168155
## 476  2009-04-27  7.828436     0 0.1700978738 0.6093711
## 477  2009-04-28  7.586804     0 0.1704353696 0.5905622
## 478  2009-04-29  7.629976     0 0.1707728653 0.5939228
## 479  2009-04-30  7.709757     0 0.1711103611 0.6001330
## 480  2009-05-01  7.526718     0 0.1714478569 0.5858851
## 481  2009-05-02  7.193686     0 0.1717853527 0.5599617
## 482  2009-05-03  7.257708     0 0.1721228485 0.5649452
## 483  2009-05-04  7.454141     0 0.1724603442 0.5802357
## 484  2009-05-05  7.481556     0 0.1727978400 0.5823697
## 485  2009-05-06  7.559038     0 0.1731353358 0.5884010
## 486  2009-05-07  7.444833     0 0.1734728316 0.5795112
## 487  2009-05-08  7.337588     0 0.1738103274 0.5711631
## 488  2009-05-09  7.135687     0 0.1741478232 0.5554470
## 489  2009-05-10  7.085064     0 0.1744853189 0.5515065
## 490  2009-05-11  7.272398     0 0.1748228147 0.5660887
## 491  2009-05-12  7.510978     0 0.1751603105 0.5846599
## 492  2009-05-13  7.498870     0 0.1754978063 0.5837174
## 493  2009-05-14  7.444249     0 0.1758353021 0.5794657
## 494  2009-05-15  7.403061     0 0.1761727978 0.5762596
## 495  2009-05-16  6.916715     0 0.1765102936 0.5384021
## 496  2009-05-17  6.977281     0 0.1768477894 0.5431166
## 497  2009-05-18  7.482682     0 0.1771852852 0.5824573
## 498  2009-05-19  7.413970     0 0.1775227810 0.5771088
## 499  2009-05-20  7.372118     0 0.1778602767 0.5738510
## 500  2009-05-21  7.333676     0 0.1781977725 0.5708586
## 501  2009-05-22  7.395108     0 0.1785352683 0.5756405
## 502  2009-05-23  7.036148     0 0.1788727641 0.5476988
## 503  2009-05-24  6.874198     0 0.1792102599 0.5350925
## 504  2009-05-25  6.984716     0 0.1795477557 0.5436953
## 505  2009-05-26  7.455877     0 0.1798852514 0.5803708
## 506  2009-05-27  7.494986     0 0.1802227472 0.5834151
## 507  2009-05-28  7.331060     0 0.1805602430 0.5706550
## 508  2009-05-29  7.104965     0 0.1808977388 0.5530556
## 509  2009-05-30  6.993933     0 0.1812352346 0.5444128
## 510  2009-05-31  6.930495     0 0.1815727303 0.5394747
## 511  2009-06-01  7.218177     0 0.1819102261 0.5618681
## 512  2009-06-02  7.475906     0 0.1822477219 0.5819299
## 513  2009-06-03  7.364547     0 0.1825852177 0.5732616
## 514  2009-06-04  7.239933     0 0.1829227135 0.5635616
## 515  2009-06-05  7.309212     0 0.1832602092 0.5689543
## 516  2009-06-06  7.138867     0 0.1835977050 0.5556945
## 517  2009-06-07  6.972606     0 0.1839352008 0.5427527
## 518  2009-06-08  7.188413     0 0.1842726966 0.5595512
## 519  2009-06-09  7.334982     0 0.1846101924 0.5709603
## 520  2009-06-10  7.334329     0 0.1849476882 0.5709095
## 521  2009-06-11  7.432484     0 0.1852851839 0.5785499
## 522  2009-06-12  7.391415     0 0.1856226797 0.5753531
## 523  2009-06-13  6.961296     0 0.1859601755 0.5418723
## 524  2009-06-14  7.021976     0 0.1862976713 0.5465957
## 525  2009-06-15  7.213768     0 0.1866351671 0.5615249
## 526  2009-06-16  7.509883     0 0.1869726628 0.5845747
## 527  2009-06-17  7.328437     0 0.1873101586 0.5704508
## 528  2009-06-18  7.496652     0 0.1876476544 0.5835448
## 529  2009-06-19  7.200425     0 0.1879851502 0.5604862
## 530  2009-06-20  7.084226     0 0.1883226460 0.5514413
## 531  2009-06-21  7.149132     0 0.1886601417 0.5564935
## 532  2009-06-22  7.256297     0 0.1889976375 0.5648354
## 533  2009-06-23  7.198184     0 0.1893351333 0.5603118
## 534  2009-06-24  7.288928     0 0.1896726291 0.5673754
## 535  2009-06-25  7.128496     0 0.1900101249 0.5548872
## 536  2009-06-26  7.082549     0 0.1903476207 0.5513107
## 537  2009-06-27  6.822197     0 0.1906851164 0.5310447
## 538  2009-06-28  6.947937     0 0.1910226122 0.5408324
## 539  2009-06-29  7.112327     0 0.1913601080 0.5536287
## 540  2009-06-30  7.199678     0 0.1916976038 0.5604281
## 541  2009-07-01  7.317212     0 0.1920350996 0.5695771
## 542  2009-07-02  7.098376     0 0.1923725953 0.5525427
## 543  2009-07-03  7.044905     0 0.1927100911 0.5483805
## 544  2009-07-04  7.304516     0 0.1930475869 0.5685888
## 545  2009-07-05  7.793587     0 0.1933850827 0.6066584
## 546  2009-07-06  7.805475     0 0.1937225785 0.6075837
## 547  2009-07-07  7.483244     0 0.1940600742 0.5825011
## 548  2009-07-08  7.356918     0 0.1943975700 0.5726678
## 549  2009-07-09  7.507141     0 0.1947350658 0.5843613
## 550  2009-07-10  7.375256     0 0.1950725616 0.5740952
## 551  2009-07-11  7.196687     0 0.1954100574 0.5601952
## 552  2009-07-12  7.223296     0 0.1957475532 0.5622665
## 553  2009-07-13  7.352441     0 0.1960850489 0.5723193
## 554  2009-07-14  7.317212     0 0.1964225447 0.5695771
## 555  2009-07-15  7.444249     0 0.1967600405 0.5794657
## 556  2009-07-16  7.355641     0 0.1970975363 0.5725684
## 557  2009-07-17  7.324490     0 0.1974350321 0.5701436
## 558  2009-07-18  7.214504     0 0.1977725278 0.5615822
## 559  2009-07-19  7.284135     0 0.1981100236 0.5670023
## 560  2009-07-20  7.540090     0 0.1984475194 0.5869260
## 561  2009-07-21  7.474772     0 0.1987850152 0.5818416
## 562  2009-07-22  7.829233     0 0.1991225110 0.6094331
## 563  2009-07-23  7.681099     0 0.1994600067 0.5979023
## 564  2009-07-24  7.729735     0 0.1997975025 0.6016881
## 565  2009-07-25  7.303170     0 0.2001349983 0.5684840
## 566  2009-07-26  7.282074     0 0.2004724941 0.5668418
## 567  2009-07-27  7.485492     0 0.2008099899 0.5826760
## 568  2009-07-28  7.618742     0 0.2011474857 0.5930484
## 569  2009-07-29  7.693937     0 0.2014849814 0.5989016
## 570  2009-07-30  7.539559     0 0.2018224772 0.5868847
## 571  2009-07-31  7.438384     0 0.2021599730 0.5790091
## 572  2009-08-01  7.273786     0 0.2024974688 0.5661967
## 573  2009-08-02  7.355641     0 0.2028349646 0.5725684
## 574  2009-08-03  7.658228     0 0.2031724603 0.5961219
## 575  2009-08-04  7.843456     0 0.2035099561 0.6105403
## 576  2009-08-05  8.368461     0 0.2038474519 0.6514070
## 577  2009-08-06  8.172164     0 0.2041849477 0.6361271
## 578  2009-08-07  7.811568     0 0.2045224435 0.6080581
## 579  2009-08-08  7.575072     0 0.2048599393 0.5896490
## 580  2009-08-09  7.658700     0 0.2051974350 0.5961587
## 581  2009-08-10  7.866339     0 0.2055349308 0.6123215
## 582  2009-08-11  7.781139     0 0.2058724266 0.6056894
## 583  2009-08-12  7.754910     0 0.2062099224 0.6036478
## 584  2009-08-13  7.708860     0 0.2065474182 0.6000632
## 585  2009-08-14  8.207129     0 0.2068849139 0.6388488
## 586  2009-08-15  7.711549     0 0.2072224097 0.6002725
## 587  2009-08-16  7.734559     0 0.2075599055 0.6020636
## 588  2009-08-17  7.967627     0 0.2078974013 0.6202058
## 589  2009-08-18  8.403801     0 0.2082348971 0.6541579
## 590  2009-08-19  8.292799     0 0.2085723928 0.6455174
## 591  2009-08-20  7.985484     0 0.2089098886 0.6215958
## 592  2009-08-21  8.671801     0 0.2092473844 0.6750192
## 593  2009-08-22  7.782390     0 0.2095848802 0.6057869
## 594  2009-08-23  7.786967     0 0.2099223760 0.6061431
## 595  2009-08-24  7.946618     0 0.2102598718 0.6185704
## 596  2009-08-25  8.173575     0 0.2105973675 0.6362370
## 597  2009-08-26  7.809541     0 0.2109348633 0.6079003
## 598  2009-08-27  7.803027     0 0.2112723591 0.6073932
## 599  2009-08-28  8.051341     0 0.2116098549 0.6267222
## 600  2009-08-29  7.973155     0 0.2119473507 0.6206361
## 601  2009-08-30  7.869019     0 0.2122848464 0.6125301
## 602  2009-08-31  8.162516     0 0.2126223422 0.6353761
## 603  2009-09-01  8.040125     0 0.2129598380 0.6258491
## 604  2009-09-02  7.963460     0 0.2132973338 0.6198814
## 605  2009-09-03  7.838343     0 0.2136348296 0.6101423
## 606  2009-09-04  7.913155     0 0.2139723253 0.6159657
## 607  2009-09-05  7.953318     0 0.2143098211 0.6190920
## 608  2009-09-06  8.076205     0 0.2146473169 0.6286576
## 609  2009-09-07  7.982416     0 0.2149848127 0.6213570
## 610  2009-09-08  8.128585     0 0.2153223085 0.6327349
## 611  2009-09-09  7.954723     0 0.2156598043 0.6192014
## 612  2009-09-10  8.110127     0 0.2159973000 0.6312981
## 613  2009-09-11  8.213653     0 0.2163347958 0.6393566
## 614  2009-09-12  8.046870     0 0.2166722916 0.6263741
## 615  2009-09-13  8.924257     0 0.2170097874 0.6946706
## 616  2009-09-14  8.617220     0 0.2173472832 0.6707706
## 617  2009-09-15  8.519590     0 0.2176847789 0.6631710
## 618  2009-09-16  8.014336     0 0.2180222747 0.6238416
## 619  2009-09-17  8.057694     0 0.2183597705 0.6272167
## 620  2009-09-18  8.104401     0 0.2186972663 0.6308524
## 621  2009-09-19  7.993958     0 0.2190347621 0.6222554
## 622  2009-09-20  8.431853     0 0.2193722578 0.6563415
## 623  2009-09-21  9.738200     0 0.2197097536 0.7580285
## 624  2009-09-22 10.179982     0 0.2200472494 0.7924171
## 625  2009-09-24  8.361942     0 0.2207222410 0.6508996
## 626  2009-09-28  9.948843     0 0.2220722241 0.7744251
## 627  2009-09-29  8.759041     0 0.2224097199 0.6818100
## 628  2009-09-30  8.251664     0 0.2227472157 0.6423154
## 629  2009-10-01  8.078688     0 0.2230847114 0.6288509
## 630  2009-10-02  8.173575     0 0.2234222072 0.6362370
## 631  2009-10-03  7.889084     0 0.2237597030 0.6140920
## 632  2009-10-04  9.099856     0 0.2240971988 0.7083393
## 633  2009-10-05  9.406565     0 0.2244346946 0.7322138
## 634  2009-10-06  9.164401     0 0.2247721903 0.7133636
## 635  2009-10-07  8.487352     0 0.2251096861 0.6606616
## 636  2009-10-08  8.431417     0 0.2254471819 0.6563076
## 637  2009-10-09  8.277666     0 0.2257846777 0.6443395
## 638  2009-10-10  8.312135     0 0.2261221735 0.6470226
## 639  2009-10-11  8.790117     0 0.2264596693 0.6842290
## 640  2009-10-12 10.280039     0 0.2267971650 0.8002056
## 641  2009-10-13  9.075780     0 0.2271346608 0.7064652
## 642  2009-10-17  8.699181     0 0.2284846439 0.6771505
## 643  2009-10-18  9.086590     0 0.2288221397 0.7073067
## 644  2009-10-19  8.861492     0 0.2291596355 0.6897849
## 645  2009-10-20  8.544419     0 0.2294971313 0.6651037
## 646  2009-10-21  8.447629     0 0.2298346271 0.6575695
## 647  2009-10-22  8.252707     0 0.2301721228 0.6423966
## 648  2009-10-23  8.109826     0 0.2305096186 0.6312747
## 649  2009-10-24  8.136811     0 0.2308471144 0.6333752
## 650  2009-10-25  8.726806     0 0.2311846102 0.6793008
## 651  2009-10-26  9.382696     0 0.2315221060 0.7303558
## 652  2009-10-27  8.578288     0 0.2318596018 0.6677401
## 653  2009-10-28  8.238801     0 0.2321970975 0.6413142
## 654  2009-10-29  8.122371     0 0.2325345933 0.6322512
## 655  2009-10-30  8.055158     0 0.2328720891 0.6270193
## 656  2009-10-31  7.832411     0 0.2332095849 0.6096805
## 657  2009-11-01  8.897546     0 0.2335470807 0.6925913
## 658  2009-11-02  8.725670     0 0.2338845764 0.6792124
## 659  2009-11-03  8.564077     0 0.2342220722 0.6666339
## 660  2009-11-04  8.219057     0 0.2345595680 0.6397773
## 661  2009-11-05  8.147578     0 0.2348970638 0.6342133
## 662  2009-11-06  8.001355     0 0.2352345596 0.6228312
## 663  2009-11-07  7.789455     0 0.2355720553 0.6063367
## 664  2009-11-08  8.811950     0 0.2359095511 0.6859285
## 665  2009-11-09  9.002209     0 0.2362470469 0.7007384
## 666  2009-11-10  8.593043     0 0.2365845427 0.6688886
## 667  2009-11-11  8.281977     0 0.2369220385 0.6446750
## 668  2009-11-12  8.465057     0 0.2372595343 0.6589261
## 669  2009-11-13  8.494743     0 0.2375970300 0.6612369
## 670  2009-11-14  8.405144     0 0.2379345258 0.6542624
## 671  2009-11-16 10.558699     0 0.2386095174 0.8218967
## 672  2009-11-17  9.124565     0 0.2389470132 0.7102627
## 673  2009-11-18  8.731821     0 0.2392845089 0.6796912
## 674  2009-11-19  8.528924     0 0.2396220047 0.6638976
## 675  2009-11-20  8.505121     0 0.2399595005 0.6620447
## 676  2009-11-21  8.276395     0 0.2402969963 0.6442405
## 677  2009-11-23  9.123911     0 0.2409719879 0.7102118
## 678  2009-11-24  8.585973     0 0.2413094836 0.6683383
## 679  2009-11-25  8.315566     0 0.2416469794 0.6472897
## 680  2009-11-26  8.661120     0 0.2419844752 0.6741878
## 681  2009-11-27  8.925720     0 0.2423219710 0.6947845
## 682  2009-11-28  8.441391     0 0.2426594668 0.6570840
## 683  2009-11-29  9.227787     0 0.2429969625 0.7182976
## 684  2009-11-30  9.264734     0 0.2433344583 0.7211735
## 685  2009-12-01  9.274910     0 0.2436719541 0.7219657
## 686  2009-12-02  8.392990     0 0.2440094499 0.6533163
## 687  2009-12-03  8.585226     0 0.2443469457 0.6682801
## 688  2009-12-04  8.423761     0 0.2446844414 0.6557116
## 689  2009-12-05  8.337827     0 0.2450219372 0.6490225
## 690  2009-12-06  9.059750     0 0.2453594330 0.7052174
## 691  2009-12-07  9.298260     0 0.2456969288 0.7237832
## 692  2009-12-08  8.761863     0 0.2460344246 0.6820297
## 693  2009-12-09  8.507547     0 0.2463719204 0.6622336
## 694  2009-12-10  8.399310     0 0.2467094161 0.6538083
## 695  2009-12-11  8.523573     0 0.2470469119 0.6634810
## 696  2009-12-12  8.379539     0 0.2473844077 0.6522693
## 697  2009-12-13  9.091106     0 0.2477219035 0.7076582
## 698  2009-12-14  9.761982     0 0.2480593993 0.7598797
## 699  2009-12-15  8.929568     0 0.2483968950 0.6950840
## 700  2009-12-16  8.530702     0 0.2487343908 0.6640359
## 701  2009-12-17  8.587092     0 0.2490718866 0.6684254
## 702  2009-12-18  9.797849     0 0.2494093824 0.7626716
## 703  2009-12-19  8.664751     0 0.2497468782 0.6744704
## 704  2009-12-20  9.172327     0 0.2500843739 0.7139805
## 705  2009-12-21  9.201401     0 0.2504218697 0.7162436
## 706  2009-12-22  9.330521     0 0.2507593655 0.7262944
## 707  2009-12-23  8.684570     0 0.2510968613 0.6760132
## 708  2009-12-24  8.502486     0 0.2514343571 0.6618396
## 709  2009-12-25  8.288786     0 0.2517718529 0.6452050
## 710  2009-12-26  8.298042     0 0.2521093486 0.6459255
## 711  2009-12-27  9.162934     0 0.2524468444 0.7132494
## 712  2009-12-28  9.547955     0 0.2527843402 0.7432197
## 713  2009-12-29  9.017241     0 0.2531218360 0.7019085
## 714  2009-12-30  8.784928     0 0.2534593318 0.6838251
## 715  2009-12-31  8.386629     0 0.2537968275 0.6528212
## 716  2010-01-01  8.334472     0 0.2541343233 0.6487612
## 717  2010-01-02  8.536015     0 0.2544718191 0.6644495
## 718  2010-01-03  8.708640     0 0.2548093149 0.6778868
## 719  2010-01-04  8.730044     0 0.2551468107 0.6795529
## 720  2010-01-05  8.375630     0 0.2554843064 0.6519650
## 721  2010-01-06  8.318986     0 0.2558218022 0.6475559
## 722  2010-01-07  8.464425     0 0.2561592980 0.6588769
## 723  2010-01-08  8.597297     0 0.2564967938 0.6692198
## 724  2010-01-09  8.922792     0 0.2568342896 0.6945565
## 725  2010-01-10  9.491677     0 0.2571717854 0.7388390
## 726  2010-01-11  9.210140     0 0.2575092811 0.7169239
## 727  2010-01-12  8.677951     0 0.2578467769 0.6754979
## 728  2010-01-13  8.602269     0 0.2581842727 0.6696068
## 729  2010-01-14  8.614501     0 0.2585217685 0.6705590
## 730  2010-01-15  8.658866     0 0.2588592643 0.6740124
## 731  2010-01-16  8.779404     0 0.2591967600 0.6833951
## 732  2010-01-17 11.007933     0 0.2595342558 0.8568654
## 733  2010-01-18  9.753246     0 0.2598717516 0.7591997
## 734  2010-01-19  9.225130     0 0.2602092474 0.7180908
## 735  2010-01-20  9.017726     0 0.2605467432 0.7019463
## 736  2010-01-21  8.936956     0 0.2608842389 0.6956590
## 737  2010-01-22  9.009325     0 0.2612217347 0.7012923
## 738  2010-01-25 11.484063     0 0.2622342221 0.8939277
## 739  2010-01-26 10.264234     0 0.2625717179 0.7989754
## 740  2010-01-27  9.694432     0 0.2629092136 0.7546215
## 741  2010-01-28  9.440420     0 0.2632467094 0.7348491
## 742  2010-01-29  9.353748     0 0.2635842052 0.7281024
## 743  2010-01-30  9.228475     0 0.2639217010 0.7183511
## 744  2010-01-31  9.303922     0 0.2642591968 0.7242240
## 745  2010-02-01 10.240174     0 0.2645966925 0.7971025
## 746  2010-02-02  9.915959     0 0.2649341883 0.7718654
## 747  2010-02-03 10.111517     0 0.2652716841 0.7870878
## 748  2010-02-04  9.858595     0 0.2656091799 0.7674001
## 749  2010-02-05 10.119002     0 0.2659466757 0.7876704
## 750  2010-02-06 10.000569     0 0.2662841714 0.7784515
## 751  2010-02-07 11.191452     0 0.2666216672 0.8711507
## 752  2010-02-09 10.463332     0 0.2672966588 0.8144733
## 753  2010-02-10  9.654064     0 0.2676341546 0.7514793
## 754  2010-02-11  9.119759     0 0.2679716504 0.7098886
## 755  2010-02-12  8.795734     0 0.2683091461 0.6846662
## 756  2010-02-13  8.448486     0 0.2686466419 0.6576362
## 757  2010-02-14  8.266678     0 0.2689841377 0.6434842
## 758  2010-02-15  8.218518     0 0.2693216335 0.6397353
## 759  2010-02-16  8.242493     0 0.2696591293 0.6416016
## 760  2010-02-17  8.008033     0 0.2699966250 0.6233510
## 761  2010-02-18  8.045268     0 0.2703341208 0.6262494
## 762  2010-02-19  7.928766     0 0.2706716166 0.6171809
## 763  2010-02-20  7.745003     0 0.2710091124 0.6028766
## 764  2010-02-21  7.866339     0 0.2713466082 0.6123215
## 765  2010-02-22  7.941651     0 0.2716841039 0.6181838
## 766  2010-02-24  8.310415     0 0.2723590955 0.6468887
## 767  2010-02-25  7.828038     0 0.2726965913 0.6093401
## 768  2010-02-26  7.873598     0 0.2730340871 0.6128865
## 769  2010-02-27  7.757051     0 0.2733715829 0.6038144
## 770  2010-02-28  7.726213     0 0.2737090786 0.6014139
## 771  2010-03-01  7.775276     0 0.2740465744 0.6052331
## 772  2010-03-02  7.795235     0 0.2743840702 0.6067867
## 773  2010-03-03  7.749753     0 0.2747215660 0.6032464
## 774  2010-03-04  8.068090     0 0.2750590618 0.6280259
## 775  2010-03-05  8.725832     0 0.2753965575 0.6792250
## 776  2010-03-06  7.654443     0 0.2757340533 0.5958274
## 777  2010-03-07  7.603399     0 0.2760715491 0.5918541
## 778  2010-03-08  7.753194     0 0.2764090449 0.6035142
## 779  2010-03-09  7.770223     0 0.2767465407 0.6048398
## 780  2010-03-10  7.631432     0 0.2770840364 0.5940361
## 781  2010-03-11  7.543803     0 0.2774215322 0.5872150
## 782  2010-03-12  7.604396     0 0.2777590280 0.5919317
## 783  2010-03-13  7.584265     0 0.2780965238 0.5903646
## 784  2010-03-14  7.510978     0 0.2784340196 0.5846599
## 785  2010-03-15  7.674617     0 0.2787715154 0.5973977
## 786  2010-03-16  7.712891     0 0.2791090111 0.6003770
## 787  2010-03-17  7.701652     0 0.2794465069 0.5995021
## 788  2010-03-18  7.638198     0 0.2797840027 0.5945628
## 789  2010-03-19  7.562681     0 0.2801214985 0.5886845
## 790  2010-03-20  7.403670     0 0.2804589943 0.5763070
## 791  2010-03-21  7.466228     0 0.2807964900 0.5811765
## 792  2010-03-22  7.612337     0 0.2811339858 0.5925498
## 793  2010-03-23  7.801800     0 0.2814714816 0.6072977
## 794  2010-03-24  8.028781     0 0.2818089774 0.6249661
## 795  2010-03-25  7.730175     0 0.2821464732 0.6017224
## 796  2010-03-26  7.639642     0 0.2824839690 0.5946752
## 797  2010-03-27  7.563201     0 0.2828214647 0.5887250
## 798  2010-03-28  7.486613     0 0.2831589605 0.5827634
## 799  2010-03-29  7.507690     0 0.2834964563 0.5844040
## 800  2010-03-30  7.653969     0 0.2838339521 0.5957905
## 801  2010-03-31  7.612831     0 0.2841714479 0.5925882
## 802  2010-04-01  7.454141     0 0.2845089436 0.5802357
## 803  2010-04-02  7.367077     0 0.2848464394 0.5734586
## 804  2010-04-03  7.452982     0 0.2851839352 0.5801455
## 805  2010-04-04  7.478735     0 0.2855214310 0.5821501
## 806  2010-04-05  7.985144     0 0.2858589268 0.6215693
## 807  2010-04-06  7.821643     0 0.2861964225 0.6088423
## 808  2010-04-07  7.660585     0 0.2865339183 0.5963055
## 809  2010-04-08  7.559559     0 0.2868714141 0.5884415
## 810  2010-04-09  7.576610     0 0.2872089099 0.5897687
## 811  2010-04-10  7.450080     0 0.2875464057 0.5799195
## 812  2010-04-11  7.498870     0 0.2878839015 0.5837174
## 813  2010-04-12  7.515889     0 0.2882213972 0.5850422
## 814  2010-04-13  7.608374     0 0.2885588930 0.5922413
## 815  2010-04-14  7.586296     0 0.2888963888 0.5905228
## 816  2010-04-15  7.680637     0 0.2892338846 0.5978663
## 817  2010-04-16  7.784889     0 0.2895713804 0.6059814
## 818  2010-04-17  7.552237     0 0.2899088761 0.5878716
## 819  2010-04-18  7.598900     0 0.2902463719 0.5915039
## 820  2010-04-19  7.648263     0 0.2905838677 0.5953463
## 821  2010-04-20  7.669962     0 0.2909213635 0.5970353
## 822  2010-04-21  7.855545     0 0.2912588593 0.6114812
## 823  2010-04-22  8.096513     0 0.2915963550 0.6302384
## 824  2010-04-23  8.921057     0 0.2919338508 0.6944215
## 825  2010-04-24  8.398635     0 0.2922713466 0.6537558
## 826  2010-04-25  7.988204     0 0.2926088424 0.6218075
## 827  2010-04-26  8.002694     0 0.2929463382 0.6229355
## 828  2010-04-27  8.073091     0 0.2932838340 0.6284152
## 829  2010-04-28  7.983099     0 0.2936213297 0.6214102
## 830  2010-04-29  7.846199     0 0.2939588255 0.6107537
## 831  2010-04-30  7.786552     0 0.2942963213 0.6061108
## 832  2010-05-01  7.444833     0 0.2946338171 0.5795112
## 833  2010-05-02  7.542213     0 0.2949713129 0.5870913
## 834  2010-05-03  7.642524     0 0.2953088086 0.5948996
## 835  2010-05-04  7.651120     0 0.2956463044 0.5955687
## 836  2010-05-05  7.511525     0 0.2959838002 0.5847025
## 837  2010-05-06  7.676937     0 0.2963212960 0.5975783
## 838  2010-05-07  7.991254     0 0.2966587918 0.6220449
## 839  2010-05-08  7.441907     0 0.2969962875 0.5792834
## 840  2010-05-09  7.383989     0 0.2973337833 0.5747750
## 841  2010-05-10  7.605890     0 0.2976712791 0.5920479
## 842  2010-05-11  7.586804     0 0.2980087749 0.5905622
## 843  2010-05-12  7.621195     0 0.2983462707 0.5932393
## 844  2010-05-13  7.295735     0 0.2986837665 0.5679053
## 845  2010-05-14  7.488853     0 0.2990212622 0.5829377
## 846  2010-05-15  7.273093     0 0.2993587580 0.5661427
## 847  2010-05-16  7.346655     0 0.2996962538 0.5718689
## 848  2010-05-17  7.473637     0 0.3000337496 0.5817533
## 849  2010-05-18  7.355641     0 0.3003712454 0.5725684
## 850  2010-05-19  7.228388     0 0.3007087411 0.5626629
## 851  2010-05-20  7.396949     0 0.3010462369 0.5757838
## 852  2010-05-21  7.475339     0 0.3013837327 0.5818858
## 853  2010-05-22  7.409742     0 0.3017212285 0.5767796
## 854  2010-05-23  7.346010     0 0.3020587243 0.5718187
## 855  2010-05-24  7.407924     0 0.3023962200 0.5766381
## 856  2010-05-25  7.383989     0 0.3027337158 0.5747750
## 857  2010-05-26  7.380879     0 0.3030712116 0.5745329
## 858  2010-05-27  7.206377     0 0.3034087074 0.5609496
## 859  2010-05-28  7.093405     0 0.3037462032 0.5521557
## 860  2010-05-29  7.109879     0 0.3040836990 0.5534381
## 861  2010-05-30  7.055313     0 0.3044211947 0.5491906
## 862  2010-05-31  7.116394     0 0.3047586905 0.5539452
## 863  2010-06-01  7.192182     0 0.3050961863 0.5598446
## 864  2010-06-02  7.249215     0 0.3054336821 0.5642841
## 865  2010-06-03  7.419381     0 0.3057711779 0.5775299
## 866  2010-06-04  7.562162     0 0.3061086736 0.5886441
## 867  2010-06-05  7.433075     0 0.3064461694 0.5785959
## 868  2010-06-06  7.285507     0 0.3067836652 0.5671091
## 869  2010-06-07  7.935587     0 0.3071211610 0.6177118
## 870  2010-06-08  9.019543     0 0.3074586568 0.7020877
## 871  2010-06-09  7.225481     0 0.3077961525 0.5624367
## 872  2010-06-10  7.027315     0 0.3081336483 0.5470112
## 873  2010-06-11  6.799056     0 0.3084711441 0.5292434
## 874  2010-06-12  5.446737     0 0.3088086399 0.4239779
## 875  2010-06-13  5.323010     0 0.3091461357 0.4143469
## 876  2010-06-14  5.262690     0 0.3094836315 0.4096516
## 877  2010-06-15  6.306275     0 0.3098211272 0.4908850
## 878  2010-06-16  6.652863     0 0.3101586230 0.5178636
## 879  2010-06-17  7.219642     0 0.3104961188 0.5619821
## 880  2010-06-18  7.388328     0 0.3108336146 0.5751127
## 881  2010-06-19  7.138867     0 0.3111711104 0.5556945
## 882  2010-06-20  7.043160     0 0.3115086061 0.5482446
## 883  2010-06-21  7.206377     0 0.3118461019 0.5609496
## 884  2010-06-22  7.029973     0 0.3121835977 0.5472181
## 885  2010-06-23  7.007601     0 0.3125210935 0.5454767
## 886  2010-06-24  6.918695     0 0.3128585893 0.5385562
## 887  2010-06-25  6.884487     0 0.3131960850 0.5358934
## 888  2010-06-27  6.137727     0 0.3138710766 0.4777651
## 889  2010-06-29  7.206377     0 0.3145460682 0.5609496
## 890  2010-06-30  7.137278     0 0.3148835640 0.5555709
## 891  2010-07-01  7.054450     0 0.3152210597 0.5491234
## 892  2010-07-02  7.112327     0 0.3155585555 0.5536287
## 893  2010-07-03  6.926577     0 0.3158960513 0.5391697
## 894  2010-07-04  6.814543     0 0.3162335471 0.5304489
## 895  2010-07-06  7.355002     0 0.3169085386 0.5725186
## 896  2010-07-11  7.131699     0 0.3185960175 0.5551365
## 897  2010-07-12  7.077498     0 0.3189335133 0.5509175
## 898  2010-07-13  7.242082     0 0.3192710091 0.5637289
## 899  2010-07-14  7.247081     0 0.3196085049 0.5641180
## 900  2010-07-15  7.646354     0 0.3199460007 0.5951977
## 901  2010-07-16  7.456455     0 0.3202834965 0.5804158
## 902  2010-07-17  7.309881     0 0.3206209922 0.5690064
## 903  2010-07-18  7.237778     0 0.3209584880 0.5633939
## 904  2010-07-19  7.275172     0 0.3212959838 0.5663046
## 905  2010-07-20  7.469084     0 0.3216334796 0.5813989
## 906  2010-07-21  7.450661     0 0.3219709754 0.5799648
## 907  2010-07-22  8.127405     0 0.3223084711 0.6326430
## 908  2010-07-23  7.774856     0 0.3226459669 0.6052004
## 909  2010-07-24  7.521318     0 0.3229834627 0.5854648
## 910  2010-07-25  7.549609     0 0.3233209585 0.5876670
## 911  2010-07-26  7.949797     0 0.3236584543 0.6188179
## 912  2010-07-27  7.797702     0 0.3239959501 0.6069787
## 913  2010-07-28  7.799753     0 0.3243334458 0.6071384
## 914  2010-07-29  7.900266     0 0.3246709416 0.6149624
## 915  2010-07-30  7.858254     0 0.3250084374 0.6116921
## 916  2010-07-31  7.941651     0 0.3253459332 0.6181838
## 917  2010-08-01  7.671361     0 0.3256834290 0.5971442
## 918  2010-08-02  8.135347     0 0.3260209247 0.6332612
## 919  2010-08-03  8.687779     0 0.3263584205 0.6762630
## 920  2010-08-04  8.453188     0 0.3266959163 0.6580022
## 921  2010-08-05  8.064636     0 0.3270334121 0.6277571
## 922  2010-08-06  8.009363     0 0.3273709079 0.6234546
## 923  2010-08-07  7.877397     0 0.3277084036 0.6131823
## 924  2010-08-08  7.855157     0 0.3280458994 0.6114511
## 925  2010-08-09  8.140898     0 0.3283833952 0.6336934
## 926  2010-08-10  7.921173     0 0.3287208910 0.6165898
## 927  2010-08-11  7.970740     0 0.3290583868 0.6204482
## 928  2010-08-12  7.965198     0 0.3293958826 0.6200168
## 929  2010-08-13  8.134761     0 0.3297333783 0.6332156
## 930  2010-08-14  7.798523     0 0.3300708741 0.6070426
## 931  2010-08-15  8.307706     0 0.3304083699 0.6466778
## 932  2010-08-16  8.280711     0 0.3307458657 0.6445765
## 933  2010-08-17  8.744488     0 0.3310833615 0.6806772
## 934  2010-08-18  8.591373     0 0.3314208572 0.6687586
## 935  2010-08-19  8.440528     0 0.3317583530 0.6570168
## 936  2010-08-20  8.509766     0 0.3320958488 0.6624063
## 937  2010-08-21  8.355145     0 0.3324333446 0.6503705
## 938  2010-08-22  8.280964     0 0.3327708404 0.6445962
## 939  2010-08-23  8.440528     0 0.3331083361 0.6570168
## 940  2010-08-24  8.313852     0 0.3334458319 0.6471562
## 941  2010-08-25  8.080856     0 0.3337833277 0.6290197
## 942  2010-08-26  8.185907     0 0.3341208235 0.6371969
## 943  2010-08-27  8.856803     0 0.3344583193 0.6894199
## 944  2010-08-28  8.073091     0 0.3347958151 0.6284152
## 945  2010-08-29  8.141481     0 0.3351333108 0.6337387
## 946  2010-08-30  8.187855     0 0.3354708066 0.6373485
## 947  2010-08-31  8.115222     0 0.3358083024 0.6316947
## 948  2010-09-01  8.159089     0 0.3361457982 0.6351093
## 949  2010-09-02  8.204398     0 0.3364832940 0.6386363
## 950  2010-09-03  8.285009     0 0.3368207897 0.6449110
## 951  2010-09-04  8.082711     0 0.3371582855 0.6291640
## 952  2010-09-05  8.245647     0 0.3374957813 0.6418471
## 953  2010-09-06  8.222016     0 0.3378332771 0.6400077
## 954  2010-09-07  8.451267     0 0.3381707729 0.6578527
## 955  2010-09-08  8.551981     0 0.3385082686 0.6656923
## 956  2010-09-09  8.625150     0 0.3388457644 0.6713879
## 957  2010-09-10  9.131946     0 0.3391832602 0.7108373
## 958  2010-09-11  8.339979     0 0.3395207560 0.6491899
## 959  2010-09-12  9.866201     0 0.3398582518 0.7679922
## 960  2010-09-13  9.270777     0 0.3401957476 0.7216439
## 961  2010-09-14  8.771835     0 0.3405332433 0.6828060
## 962  2010-09-15  8.494743     0 0.3408707391 0.6612369
## 963  2010-09-16  8.616314     0 0.3412082349 0.6707001
## 964  2010-09-17  8.947806     0 0.3415457307 0.6965036
## 965  2010-09-18  9.075780     0 0.3418832265 0.7064652
## 966  2010-09-19  9.500469     0 0.3422207222 0.7395234
## 967  2010-09-20 11.426103     0 0.3425582180 0.8894161
## 968  2010-09-21  9.295508     0 0.3428957138 0.7235690
## 969  2010-09-22  8.617220     0 0.3432332096 0.6707706
## 970  2010-09-23  8.476996     0 0.3435707054 0.6598555
## 971  2010-09-24  8.327726     0 0.3439082011 0.6482362
## 972  2010-09-25  8.303752     0 0.3442456969 0.6463700
## 973  2010-09-26  9.330432     0 0.3445831927 0.7262875
## 974  2010-09-27  9.416134     0 0.3449206885 0.7329587
## 975  2010-09-28  8.922925     0 0.3452581843 0.6945669
## 976  2010-09-29  8.445912     0 0.3455956801 0.6574359
## 977  2010-09-30  8.311153     0 0.3459331758 0.6469461
## 978  2010-10-01  8.270525     0 0.3462706716 0.6437836
## 979  2010-10-02  8.201660     0 0.3466081674 0.6384231
## 980  2010-10-03  9.009814     0 0.3469456632 0.7013304
## 981  2010-10-04  9.309099     0 0.3472831590 0.7246270
## 982  2010-10-05  9.128479     0 0.3476206547 0.7105674
## 983  2010-10-06  8.447414     0 0.3479581505 0.6575528
## 984  2010-10-07  8.254269     0 0.3482956463 0.6425182
## 985  2010-10-08  8.324821     0 0.3486331421 0.6480101
## 986  2010-10-09  8.102889     0 0.3489706379 0.6307347
## 987  2010-10-10  9.159573     0 0.3493081336 0.7129878
## 988  2010-10-11  8.851091     0 0.3496456294 0.6889753
## 989  2010-10-12  9.540579     0 0.3499831252 0.7426455
## 990  2010-10-13  8.490438     0 0.3503206210 0.6609018
## 991  2010-10-14  8.564649     0 0.3506581168 0.6666784
## 992  2010-10-15  8.352319     0 0.3509956126 0.6501505
## 993  2010-10-16  8.104401     0 0.3513331083 0.6308524
## 994  2010-10-17  9.153347     0 0.3516706041 0.7125031
## 995  2010-10-18 10.075296     0 0.3520080999 0.7842683
## 996  2010-10-19  8.718009     0 0.3523455957 0.6786161
## 997  2010-10-20  8.344743     0 0.3526830915 0.6495608
## 998  2010-10-21  8.263075     0 0.3530205872 0.6432037
## 999  2010-10-22  8.256088     0 0.3533580830 0.6426598
## 1000 2010-10-23  8.008698     0 0.3536955788 0.6234028
## 1001 2010-10-24  8.529714     0 0.3540330746 0.6639591
## 1002 2010-10-25  8.861350     0 0.3543705704 0.6897739
## 1003 2010-10-26  9.789142     0 0.3547080661 0.7619939
## 1004 2010-10-27  8.500250     0 0.3550455619 0.6616656
## 1005 2010-10-28  8.405591     0 0.3553830577 0.6542972
## 1006 2010-10-29  8.944159     0 0.3557205535 0.6962197
## 1007 2010-10-30  8.866582     0 0.3560580493 0.6901811
## 1008 2010-10-31  9.014569     0 0.3563955451 0.7017005
## 1009 2010-11-01  9.130106     0 0.3567330408 0.7106940
## 1010 2010-11-02 10.246510     0 0.3570705366 0.7975957
## 1011 2010-11-03  8.589700     0 0.3574080324 0.6686284
## 1012 2010-11-04  8.650675     0 0.3577455282 0.6733747
## 1013 2010-11-05  8.781248     0 0.3580830240 0.6835387
## 1014 2010-11-06  8.333030     0 0.3584205197 0.6486490
## 1015 2010-11-07  9.067624     0 0.3587580155 0.7058304
## 1016 2010-11-08  9.523325     0 0.3590955113 0.7413024
## 1017 2010-11-09  8.709960     0 0.3594330071 0.6779895
## 1018 2010-11-10  8.371011     0 0.3597705029 0.6516055
## 1019 2010-11-11  8.377701     0 0.3601079987 0.6521263
## 1020 2010-11-12  8.400435     0 0.3604454944 0.6538959
## 1021 2010-11-13  8.182839     0 0.3607829902 0.6369580
## 1022 2010-11-14  8.875007     0 0.3611204860 0.6908370
## 1023 2010-11-15  9.210340     0 0.3614579818 0.7169395
## 1024 2010-11-16  8.714568     0 0.3617954776 0.6783482
## 1025 2010-11-17  8.317522     0 0.3621329733 0.6474419
## 1026 2010-11-18  8.559294     0 0.3624704691 0.6662616
## 1027 2010-11-19  8.604654     0 0.3628079649 0.6697925
## 1028 2010-11-20  8.733755     0 0.3631454607 0.6798418
## 1029 2010-11-21  9.540579     0 0.3634829565 0.7426455
## 1030 2010-11-22 10.161689     0 0.3638204522 0.7909932
## 1031 2010-11-23  8.816705     0 0.3641579480 0.6862986
## 1032 2010-11-24  8.314097     0 0.3644954438 0.6471753
## 1033 2010-11-25  8.710620     0 0.3648329396 0.6780409
## 1034 2010-11-26  8.743691     0 0.3651704354 0.6806152
## 1035 2010-11-27  8.392310     0 0.3655079312 0.6532634
## 1036 2010-11-28  9.230731     0 0.3658454269 0.7185267
## 1037 2010-11-29 10.256114     0 0.3661829227 0.7983433
## 1038 2010-11-30  8.913819     0 0.3665204185 0.6938581
## 1039 2010-12-01  8.650325     0 0.3668579143 0.6733475
## 1040 2010-12-02  8.390041     0 0.3671954101 0.6530868
## 1041 2010-12-03  8.309185     0 0.3675329058 0.6467929
## 1042 2010-12-04  8.222285     0 0.3678704016 0.6400286
## 1043 2010-12-05  9.282382     0 0.3682078974 0.7225473
## 1044 2010-12-06  9.922604     0 0.3685453932 0.7723826
## 1045 2010-12-07  9.168893     0 0.3688828890 0.7137132
## 1046 2010-12-08  8.748305     0 0.3692203847 0.6809743
## 1047 2010-12-09  8.815073     0 0.3695578805 0.6861716
## 1048 2010-12-10  9.763306     0 0.3698953763 0.7599827
## 1049 2010-12-11  8.568836     0 0.3702328721 0.6670044
## 1050 2010-12-12  8.926119     0 0.3705703679 0.6948155
## 1051 2010-12-13  9.128913     0 0.3709078637 0.7106012
## 1052 2010-12-14  9.719565     0 0.3712453594 0.7565779
## 1053 2010-12-15  8.781248     0 0.3715828552 0.6835387
## 1054 2010-12-16  8.488382     0 0.3719203510 0.6607418
## 1055 2010-12-17  8.536407     0 0.3722578468 0.6644801
## 1056 2010-12-18  8.144098     0 0.3725953426 0.6339425
## 1057 2010-12-19  9.106645     0 0.3729328383 0.7088678
## 1058 2010-12-20  9.115700     0 0.3732703341 0.7095726
## 1059 2010-12-21  9.684212     0 0.3736078299 0.7538260
## 1060 2010-12-22  8.800114     0 0.3739453257 0.6850072
## 1061 2010-12-23  8.547528     0 0.3742828215 0.6653457
## 1062 2010-12-24  8.322151     0 0.3746203172 0.6478022
## 1063 2010-12-25  8.095294     0 0.3749578130 0.6301435
## 1064 2010-12-26  8.923458     0 0.3752953088 0.6946084
## 1065 2010-12-27  9.379746     0 0.3756328046 0.7301261
## 1066 2010-12-28  8.903272     0 0.3759703004 0.6930371
## 1067 2010-12-29  8.875567     0 0.3763077962 0.6908805
## 1068 2010-12-30  8.441391     0 0.3766452919 0.6570840
## 1069 2010-12-31  8.596743     0 0.3769827877 0.6691767
## 1070 2011-01-01  9.009692     0 0.3773202835 0.7013209
## 1071 2011-01-02  9.398975     0 0.3776577793 0.7316230
## 1072 2011-01-03  9.993922     0 0.3779952751 0.7779341
## 1073 2011-01-04  9.061492     0 0.3783327708 0.7053531
## 1074 2011-01-05  8.971194     0 0.3786702666 0.6983242
## 1075 2011-01-06  8.946896     0 0.3790077624 0.6964328
## 1076 2011-01-07  9.186969     0 0.3793452582 0.7151203
## 1077 2011-01-08  9.098067     0 0.3796827540 0.7082001
## 1078 2011-01-09 10.878104     0 0.3800202497 0.8467594
## 1079 2011-01-10  9.382696     0 0.3803577455 0.7303558
## 1080 2011-01-11  9.198976     0 0.3806952413 0.7160549
## 1081 2011-01-12  8.621193     0 0.3810327371 0.6710798
## 1082 2011-01-13  8.613230     0 0.3813702329 0.6704600
## 1083 2011-01-14  8.695172     0 0.3817077287 0.6768384
## 1084 2011-01-15  8.720297     0 0.3820452244 0.6787942
## 1085 2011-01-16  9.500320     0 0.3823827202 0.7395117
## 1086 2011-01-17  9.347577     0 0.3827202160 0.7276221
## 1087 2011-01-18  8.783703     0 0.3830577118 0.6837297
## 1088 2011-01-19  8.702178     0 0.3833952076 0.6773838
## 1089 2011-01-20  8.682199     0 0.3837327033 0.6758286
## 1090 2011-01-21  8.483636     0 0.3840701991 0.6603723
## 1091 2011-01-22  8.409162     0 0.3844076949 0.6545752
## 1092 2011-01-23  8.973098     0 0.3847451907 0.6984724
## 1093 2011-01-24  9.550306     0 0.3850826865 0.7434027
## 1094 2011-01-25  8.786304     0 0.3854201822 0.6839322
## 1095 2011-01-26  8.608130     0 0.3857576780 0.6700630
## 1096 2011-01-27  8.494948     0 0.3860951738 0.6612528
## 1097 2011-01-28  8.448700     0 0.3864326696 0.6576529
## 1098 2011-01-29  8.191740     0 0.3867701654 0.6376509
## 1099 2011-01-30  8.380915     0 0.3871076612 0.6523765
## 1100 2011-01-31  9.073948     0 0.3874451569 0.7063226
## 1101 2011-02-01  8.356085     0 0.3877826527 0.6504437
## 1102 2011-02-02  8.348538     0 0.3881201485 0.6498562
## 1103 2011-02-03  8.535033     0 0.3884576443 0.6643731
## 1104 2011-02-04  8.434898     0 0.3887951401 0.6565785
## 1105 2011-02-05  8.535426     0 0.3891326358 0.6644037
## 1106 2011-02-06  8.991687     0 0.3894701316 0.6999193
## 1107 2011-02-07  9.777130     0 0.3898076274 0.7610588
## 1108 2011-02-08  8.638880     0 0.3901451232 0.6724566
## 1109 2011-02-09  8.283241     0 0.3904826190 0.6447735
## 1110 2011-02-10  8.273337     0 0.3908201147 0.6440025
## 1111 2011-02-11  8.159089     0 0.3911576105 0.6351093
## 1112 2011-02-12  7.913521     0 0.3914951063 0.6159942
## 1113 2011-02-13  7.840706     0 0.3918326021 0.6103262
## 1114 2011-02-14  8.024862     0 0.3921700979 0.6246610
## 1115 2011-02-15  7.971431     0 0.3925075937 0.6205019
## 1116 2011-02-16  8.477828     0 0.3928450894 0.6599203
## 1117 2011-02-17  7.957877     0 0.3931825852 0.6194469
## 1118 2011-02-18  8.023552     0 0.3935200810 0.6245591
## 1119 2011-02-19  7.549083     0 0.3938575768 0.5876260
## 1120 2011-02-20  7.519692     0 0.3941950726 0.5853383
## 1121 2011-02-21  7.871693     0 0.3945325683 0.6127382
## 1122 2011-02-22  7.681560     0 0.3948700641 0.5979382
## 1123 2011-02-23  7.732369     0 0.3952075599 0.6018932
## 1124 2011-02-24  7.782390     0 0.3955450557 0.6057869
## 1125 2011-02-25  7.656337     0 0.3958825515 0.5959748
## 1126 2011-02-26  7.483244     0 0.3962200472 0.5825011
## 1127 2011-02-27  7.598900     0 0.3965575430 0.5915039
## 1128 2011-02-28  7.786136     0 0.3968950388 0.6060784
## 1129 2011-03-01  7.750615     0 0.3972325346 0.6033134
## 1130 2011-03-02  7.764721     0 0.3975700304 0.6044114
## 1131 2011-03-03  7.704812     0 0.3979075262 0.5997481
## 1132 2011-03-04  7.658700     0 0.3982450219 0.5961587
## 1133 2011-03-05  7.347300     0 0.3985825177 0.5719191
## 1134 2011-03-06  7.544332     0 0.3989200135 0.5872562
## 1135 2011-03-07  7.747165     0 0.3992575093 0.6030449
## 1136 2011-03-08  7.688913     0 0.3995950051 0.5985105
## 1137 2011-03-09  7.770645     0 0.3999325008 0.6048726
## 1138 2011-03-10  7.611842     0 0.4002699966 0.5925113
## 1139 2011-03-11  7.487734     0 0.4006074924 0.5828506
## 1140 2011-03-12  7.557473     0 0.4009449882 0.5882791
## 1141 2011-03-13  7.568379     0 0.4012824840 0.5891281
## 1142 2011-03-14  7.525640     0 0.4016199798 0.5858012
## 1143 2011-03-15  7.661998     0 0.4019574755 0.5964154
## 1144 2011-03-16  7.416378     0 0.4022949713 0.5772962
## 1145 2011-03-17  7.443664     0 0.4026324671 0.5794201
## 1146 2011-03-18  7.316548     0 0.4029699629 0.5695254
## 1147 2011-03-19  7.174724     0 0.4033074587 0.5584857
## 1148 2011-03-20  7.247793     0 0.4036449544 0.5641734
## 1149 2011-03-21  7.413970     0 0.4039824502 0.5771088
## 1150 2011-03-22  7.529406     0 0.4043199460 0.5860944
## 1151 2011-03-23  7.639642     0 0.4046574418 0.5946752
## 1152 2011-03-24  8.269757     0 0.4049949376 0.6437238
## 1153 2011-03-25  8.331345     0 0.4053324333 0.6485179
## 1154 2011-03-26  7.784473     0 0.4056699291 0.6059490
## 1155 2011-03-27  7.480992     0 0.4060074249 0.5823258
## 1156 2011-03-28  7.587817     0 0.4063449207 0.5906411
## 1157 2011-03-29  7.671827     0 0.4066824165 0.5971805
## 1158 2011-03-30  7.597396     0 0.4070199123 0.5913868
## 1159 2011-03-31  7.677400     0 0.4073574080 0.5976144
## 1160 2011-04-01  7.484369     0 0.4076949038 0.5825886
## 1161 2011-04-02  7.261225     0 0.4080323996 0.5652190
## 1162 2011-04-03  7.392032     0 0.4083698954 0.5754010
## 1163 2011-04-04  7.428333     0 0.4087073912 0.5782268
## 1164 2011-04-05  7.557473     0 0.4090448869 0.5882791
## 1165 2011-04-06  7.488853     0 0.4093823827 0.5829377
## 1166 2011-04-07  7.427144     0 0.4097198785 0.5781342
## 1167 2011-04-08  8.215277     0 0.4100573743 0.6394831
## 1168 2011-04-09  8.493720     0 0.4103948701 0.6611572
## 1169 2011-04-10  8.143227     0 0.4107323658 0.6338746
## 1170 2011-04-11  8.121777     0 0.4110698616 0.6322050
## 1171 2011-04-12  8.207947     0 0.4114073574 0.6389125
## 1172 2011-04-13  8.519790     0 0.4117448532 0.6631866
## 1173 2011-04-14  8.574707     0 0.4120823490 0.6674614
## 1174 2011-04-15  8.047829     0 0.4124198448 0.6264488
## 1175 2011-04-16  7.487734     0 0.4127573405 0.5828506
## 1176 2011-04-17  7.566311     0 0.4130948363 0.5889671
## 1177 2011-04-18  7.997663     0 0.4134323321 0.6225438
## 1178 2011-04-19  8.008366     0 0.4137698279 0.6233769
## 1179 2011-04-20  7.914983     0 0.4141073237 0.6161080
## 1180 2011-04-21  7.880426     0 0.4144448194 0.6134180
## 1181 2011-04-22  7.848934     0 0.4147823152 0.6109666
## 1182 2011-04-23  7.508239     0 0.4151198110 0.5844467
## 1183 2011-04-24  7.660585     0 0.4154573068 0.5963055
## 1184 2011-04-25  8.027477     0 0.4157948026 0.6248645
## 1185 2011-04-26  8.100465     0 0.4161322983 0.6305460
## 1186 2011-04-27  8.180881     0 0.4164697941 0.6368056
## 1187 2011-04-28  8.333511     0 0.4168072899 0.6486865
## 1188 2011-04-29  8.641002     0 0.4171447857 0.6726218
## 1189 2011-04-30  8.463159     0 0.4174822815 0.6587784
## 1190 2011-05-01  8.012018     0 0.4178197773 0.6236613
## 1191 2011-05-02  7.795647     0 0.4181572730 0.6068187
## 1192 2011-05-03  7.705713     0 0.4184947688 0.5998182
## 1193 2011-05-04  7.778630     0 0.4188322646 0.6054942
## 1194 2011-05-05  7.812378     0 0.4191697604 0.6081211
## 1195 2011-05-06  7.561642     0 0.4195072562 0.5886036
## 1196 2011-05-07  7.263330     0 0.4198447519 0.5653828
## 1197 2011-05-08  7.355641     0 0.4201822477 0.5725684
## 1198 2011-05-09  7.474772     0 0.4205197435 0.5818416
## 1199 2011-05-10  7.534228     0 0.4208572393 0.5864697
## 1200 2011-05-11  7.629976     0 0.4211947351 0.5939228
## 1201 2011-05-12  7.626083     0 0.4215322308 0.5936198
## 1202 2011-05-13  7.444833     0 0.4218697266 0.5795112
## 1203 2011-05-14  7.119636     0 0.4222072224 0.5541975
## 1204 2011-05-15  7.370231     0 0.4225447182 0.5737040
## 1205 2011-05-16  7.541152     0 0.4228822140 0.5870087
## 1206 2011-05-17  7.513709     0 0.4232197098 0.5848725
## 1207 2011-05-18  7.590347     0 0.4235572055 0.5908381
## 1208 2011-05-19  7.548029     0 0.4238947013 0.5875440
## 1209 2011-05-20  7.368340     0 0.4242321971 0.5735569
## 1210 2011-05-21  7.113142     0 0.4245696929 0.5536921
## 1211 2011-05-22  7.237059     0 0.4249071887 0.5633379
## 1212 2011-05-23  7.487174     0 0.4252446844 0.5828070
## 1213 2011-05-24  7.612337     0 0.4255821802 0.5925498
## 1214 2011-05-25  8.217169     0 0.4259196760 0.6396303
## 1215 2011-05-26  7.666690     0 0.4262571718 0.5967807
## 1216 2011-05-27  7.326466     0 0.4265946676 0.5702973
## 1217 2011-05-28  7.093405     0 0.4269321633 0.5521557
## 1218 2011-05-29  7.139660     0 0.4272696591 0.5557563
## 1219 2011-05-30  7.403670     0 0.4276071549 0.5763070
## 1220 2011-05-31  7.425954     0 0.4279446507 0.5780416
## 1221 2011-06-01  7.437795     0 0.4282821465 0.5789633
## 1222 2011-06-02  7.553287     0 0.4286196423 0.5879533
## 1223 2011-06-03  7.321850     0 0.4289571380 0.5699380
## 1224 2011-06-04  7.103322     0 0.4292946338 0.5529277
## 1225 2011-06-05  7.110696     0 0.4296321296 0.5535017
## 1226 2011-06-06  7.482119     0 0.4299696254 0.5824135
## 1227 2011-06-07  7.545918     0 0.4303071212 0.5873797
## 1228 2011-06-08  7.327781     0 0.4306446169 0.5703997
## 1229 2011-06-09  7.219642     0 0.4309821127 0.5619821
## 1230 2011-06-10  7.363280     0 0.4313196085 0.5731630
## 1231 2011-06-11  7.188413     0 0.4316571043 0.5595512
## 1232 2011-06-12  7.250636     0 0.4319946001 0.5643947
## 1233 2011-06-13  7.450080     0 0.4323320958 0.5799195
## 1234 2011-06-14  7.197435     0 0.4326695916 0.5602535
## 1235 2011-06-15  7.419381     0 0.4330070874 0.5775299
## 1236 2011-06-16  7.379632     0 0.4333445832 0.5744359
## 1237 2011-06-17  7.403061     0 0.4336820790 0.5762596
## 1238 2011-06-18  7.515889     0 0.4340195748 0.5850422
## 1239 2011-06-19  7.637234     0 0.4343570705 0.5944878
## 1240 2011-06-20  7.526179     0 0.4346945663 0.5858432
## 1241 2011-06-21  7.318540     0 0.4350320621 0.5696804
## 1242 2011-06-22  7.382124     0 0.4353695579 0.5746299
## 1243 2011-06-23  7.749753     0 0.4357070537 0.6032464
## 1244 2011-06-24  7.676010     0 0.4360445494 0.5975061
## 1245 2011-06-25  7.266129     0 0.4363820452 0.5656007
## 1246 2011-06-26  7.583248     0 0.4367195410 0.5902854
## 1247 2011-06-27  7.566828     0 0.4370570368 0.5890074
## 1248 2011-06-28  7.560080     0 0.4373945326 0.5884821
## 1249 2011-06-29  7.632886     0 0.4377320283 0.5941493
## 1250 2011-06-30  7.500529     0 0.4380695241 0.5838466
## 1251 2011-07-01  7.423568     0 0.4384070199 0.5778559
## 1252 2011-07-02  7.390181     0 0.4387445157 0.5752570
## 1253 2011-07-03  7.210080     0 0.4390820115 0.5612378
## 1254 2011-07-04  7.945555     0 0.4394195073 0.6184877
## 1255 2011-07-05  7.599902     0 0.4397570030 0.5915818
## 1256 2011-07-06  7.562681     0 0.4400944988 0.5886845
## 1257 2011-07-07  7.611842     0 0.4404319946 0.5925113
## 1258 2011-07-08  8.999990     0 0.4407694904 0.7005657
## 1259 2011-07-09  8.737934     0 0.4411069862 0.6801670
## 1260 2011-07-10  8.267962     0 0.4414444819 0.6435841
## 1261 2011-07-11  7.779049     0 0.4417819777 0.6055267
## 1262 2011-07-12  7.578657     0 0.4421194735 0.5899281
## 1263 2011-07-13  7.605392     0 0.4424569693 0.5920092
## 1264 2011-07-14  8.291797     0 0.4427944651 0.6454394
## 1265 2011-07-15  7.617760     0 0.4431319609 0.5929719
## 1266 2011-07-16  7.358831     0 0.4434694566 0.5728167
## 1267 2011-07-17  7.686621     0 0.4438069524 0.5983321
## 1268 2011-07-18  7.753624     0 0.4441444482 0.6035476
## 1269 2011-07-19  7.779049     0 0.4444819440 0.6055267
## 1270 2011-07-20  8.057061     0 0.4448194398 0.6271674
## 1271 2011-07-21  7.898411     0 0.4451569355 0.6148180
## 1272 2011-07-22  7.797291     0 0.4454944313 0.6069468
## 1273 2011-07-23  7.515345     0 0.4458319271 0.5849998
## 1274 2011-07-24  7.482682     0 0.4461694229 0.5824573
## 1275 2011-07-25  7.886833     0 0.4465069187 0.6139167
## 1276 2011-07-26  8.397283     0 0.4468444144 0.6536505
## 1277 2011-07-27  8.267706     0 0.4471819102 0.6435641
## 1278 2011-07-28  8.236156     0 0.4475194060 0.6411083
## 1279 2011-07-29  8.388905     0 0.4478569018 0.6529984
## 1280 2011-07-30  9.078864     0 0.4481943976 0.7067053
## 1281 2011-07-31  9.632990     0 0.4485318934 0.7498389
## 1282 2011-08-01  8.947806     0 0.4488693891 0.6965036
## 1283 2011-08-02  8.539346     0 0.4492068849 0.6647088
## 1284 2011-08-03  8.347827     0 0.4495443807 0.6498009
## 1285 2011-08-04  8.325306     0 0.4498818765 0.6480478
## 1286 2011-08-05  8.255569     0 0.4502193723 0.6426194
## 1287 2011-08-06  8.097122     0 0.4505568680 0.6302858
## 1288 2011-08-07  8.135933     0 0.4508943638 0.6333068
## 1289 2011-08-08  8.018955     0 0.4512318596 0.6242012
## 1290 2011-08-09  8.086103     0 0.4515693554 0.6294280
## 1291 2011-08-10  8.133294     0 0.4519068512 0.6331014
## 1292 2011-08-11  8.049746     0 0.4522443469 0.6265980
## 1293 2011-08-12  8.190632     0 0.4525818427 0.6375646
## 1294 2011-08-13  8.043342     0 0.4529193385 0.6260995
## 1295 2011-08-14  8.438150     0 0.4532568343 0.6568317
## 1296 2011-08-15  8.107419     0 0.4535943301 0.6310873
## 1297 2011-08-16  8.168770     0 0.4539318259 0.6358629
## 1298 2011-08-17  8.174703     0 0.4542693216 0.6363247
## 1299 2011-08-18  8.291296     0 0.4546068174 0.6454004
## 1300 2011-08-19  8.305978     0 0.4549443132 0.6465433
## 1301 2011-08-20  8.423102     0 0.4552818090 0.6556603
## 1302 2011-08-21  8.756210     0 0.4556193048 0.6815897
## 1303 2011-08-22  8.725832     0 0.4559568005 0.6792250
## 1304 2011-08-23  8.707483     0 0.4562942963 0.6777967
## 1305 2011-08-24  8.510773     0 0.4566317921 0.6624847
## 1306 2011-08-25  8.702178     0 0.4569692879 0.6773838
## 1307 2011-08-26  8.580544     0 0.4573067837 0.6679157
## 1308 2011-08-27  9.225426     0 0.4576442794 0.7181138
## 1309 2011-08-28  8.411166     0 0.4579817752 0.6547312
## 1310 2011-08-29  8.451908     0 0.4583192710 0.6579026
## 1311 2011-08-30  8.771835     0 0.4586567668 0.6828060
## 1312 2011-08-31  8.238801     0 0.4589942626 0.6413142
## 1313 2011-09-01  8.157084     0 0.4593317584 0.6349533
## 1314 2011-09-03  8.039157     0 0.4600067499 0.6257738
## 1315 2011-09-04  8.118505     0 0.4603442457 0.6319503
## 1316 2011-09-05  9.185638     0 0.4606817415 0.7150166
## 1317 2011-09-06  9.152393     0 0.4610192373 0.7124289
## 1318 2011-09-07  9.026177     0 0.4613567330 0.7026041
## 1319 2011-09-08  9.742262     0 0.4616942288 0.7583447
## 1320 2011-09-09 10.082846     0 0.4620317246 0.7848560
## 1321 2011-09-10  9.111072     0 0.4623692204 0.7092124
## 1322 2011-09-11  9.738790     0 0.4627067162 0.7580744
## 1323 2011-09-12  9.614938     0 0.4630442119 0.7484337
## 1324 2011-09-13  9.348013     0 0.4633817077 0.7276561
## 1325 2011-09-14  8.554296     0 0.4637192035 0.6658726
## 1326 2011-09-15  8.449557     0 0.4640566993 0.6577195
## 1327 2011-09-16  8.430545     0 0.4643941951 0.6562397
## 1328 2011-09-17  8.605387     0 0.4647316909 0.6698495
## 1329 2011-09-18  9.219895     0 0.4650691866 0.7176832
## 1330 2011-09-19  9.500769     0 0.4654066824 0.7395467
## 1331 2011-09-20  9.522300     0 0.4657441782 0.7412227
## 1332 2011-09-21  8.478868     0 0.4660816740 0.6600012
## 1333 2011-09-22  8.283494     0 0.4664191698 0.6447931
## 1334 2011-09-23  8.268988     0 0.4667566655 0.6436640
## 1335 2011-09-24  8.283241     0 0.4670941613 0.6447735
## 1336 2011-09-25  9.030137     0 0.4674316571 0.7029123
## 1337 2011-09-26 10.252559     0 0.4677691529 0.7980665
## 1338 2011-09-27  9.166597     0 0.4681066487 0.7135345
## 1339 2011-09-28  8.275376     0 0.4684441444 0.6441612
## 1340 2011-09-29  8.346642     0 0.4687816402 0.6497086
## 1341 2011-09-30  8.421563     0 0.4691191360 0.6555405
## 1342 2011-10-01  8.194506     0 0.4694566318 0.6378662
## 1343 2011-10-02  8.877661     0 0.4697941276 0.6910435
## 1344 2011-10-03  8.994172     0 0.4701316234 0.7001128
## 1345 2011-10-04  9.556763     0 0.4704691191 0.7439053
## 1346 2011-10-05  8.414496     0 0.4708066149 0.6549904
## 1347 2011-10-06  8.311398     0 0.4711441107 0.6469652
## 1348 2011-10-07  8.365672     0 0.4714816065 0.6511899
## 1349 2011-10-08  8.149024     0 0.4718191023 0.6343259
## 1350 2011-10-09  8.968269     0 0.4721565980 0.6980965
## 1351 2011-10-10  8.883224     0 0.4724940938 0.6914766
## 1352 2011-10-11  8.704502     0 0.4728315896 0.6775647
## 1353 2011-10-12  8.232972     0 0.4731690854 0.6408604
## 1354 2011-10-13  8.173011     0 0.4735065812 0.6361931
## 1355 2011-10-14  8.134468     0 0.4738440769 0.6331928
## 1356 2011-10-15  8.834337     0 0.4741815727 0.6876711
## 1357 2011-10-16  9.089753     0 0.4745190685 0.7075529
## 1358 2011-10-17  9.010791     0 0.4748565643 0.7014065
## 1359 2011-10-18  8.717518     0 0.4751940601 0.6785779
## 1360 2011-10-19  8.422003     0 0.4755315559 0.6555748
## 1361 2011-10-21  8.207129     0 0.4762065474 0.6388488
## 1362 2011-10-22  8.054840     0 0.4765440432 0.6269945
## 1363 2011-10-23  8.831566     0 0.4768815390 0.6874554
## 1364 2011-10-24 10.182747     0 0.4772190348 0.7926323
## 1365 2011-10-25  8.809863     0 0.4775565305 0.6857660
## 1366 2011-10-26  8.760139     0 0.4778940263 0.6818955
## 1367 2011-10-27  8.885026     0 0.4782315221 0.6916168
## 1368 2011-10-28  8.561593     0 0.4785690179 0.6664405
## 1369 2011-10-29  8.249575     0 0.4789065137 0.6421529
## 1370 2011-10-30  9.356603     0 0.4792440094 0.7283247
## 1371 2011-10-31  9.127502     0 0.4795815052 0.7104913
## 1372 2011-11-01  8.791030     0 0.4799190010 0.6843001
## 1373 2011-11-02  8.653471     0 0.4802564968 0.6735924
## 1374 2011-11-03  8.743372     0 0.4805939926 0.6805904
## 1375 2011-11-04  8.867427     0 0.4809314884 0.6902469
## 1376 2011-11-05  8.440096     0 0.4812689841 0.6569831
## 1377 2011-11-06  9.375685     0 0.4816064799 0.7298101
## 1378 2011-11-07  9.741027     0 0.4819439757 0.7582486
## 1379 2011-11-08  8.836229     0 0.4822814715 0.6878184
## 1380 2011-11-09  8.461046     0 0.4826189673 0.6586139
## 1381 2011-11-10  8.216358     0 0.4829564630 0.6395672
## 1382 2011-11-11  8.228444     0 0.4832939588 0.6405080
## 1383 2011-11-12  8.047190     0 0.4836314546 0.6263990
## 1384 2011-11-13  9.072342     0 0.4839689504 0.7061976
## 1385 2011-11-14  9.467615     0 0.4843064462 0.7369659
## 1386 2011-11-15  8.986697     0 0.4846439420 0.6995309
## 1387 2011-11-16  8.439232     0 0.4849814377 0.6569158
## 1388 2011-11-17  8.423981     0 0.4853189335 0.6557287
## 1389 2011-11-18  8.588024     0 0.4856564293 0.6684980
## 1390 2011-11-19  8.254009     0 0.4859939251 0.6424980
## 1391 2011-11-20  8.745125     0 0.4863314209 0.6807268
## 1392 2011-11-21  9.495143     0 0.4866689166 0.7391088
## 1393 2011-11-22  8.724695     0 0.4870064124 0.6791365
## 1394 2011-11-23  8.359603     0 0.4873439082 0.6507175
## 1395 2011-11-24  8.763741     0 0.4876814040 0.6821759
## 1396 2011-11-25  8.727940     0 0.4880188998 0.6793891
## 1397 2011-11-26  8.385489     0 0.4883563955 0.6527325
## 1398 2011-11-27  9.313077     0 0.4886938913 0.7249366
## 1399 2011-11-28  9.306196     0 0.4890313871 0.7244010
## 1400 2011-11-29  9.846758     0 0.4893688829 0.7664787
## 1401 2011-11-30  8.796793     0 0.4897063787 0.6847487
## 1402 2011-12-01  8.646114     0 0.4900438745 0.6730197
## 1403 2011-12-02  8.939843     0 0.4903813702 0.6958838
## 1404 2011-12-03  8.843759     0 0.4907188660 0.6884046
## 1405 2011-12-04  9.700514     0 0.4910563618 0.7550950
## 1406 2011-12-05  9.539140     0 0.4913938576 0.7425335
## 1407 2011-12-06  8.908289     0 0.4917313534 0.6934276
## 1408 2011-12-07  9.021840     0 0.4920688491 0.7022665
## 1409 2011-12-08  9.109636     0 0.4924063449 0.7091006
## 1410 2011-12-09  8.871646     0 0.4927438407 0.6905753
## 1411 2011-12-10  8.382289     0 0.4930813365 0.6524834
## 1412 2011-12-11  9.232298     0 0.4934188323 0.7186487
## 1413 2011-12-12  9.852878     0 0.4937563280 0.7669551
## 1414 2011-12-13  8.847072     0 0.4940938238 0.6886625
## 1415 2011-12-14  8.533460     0 0.4944313196 0.6642507
## 1416 2011-12-15  8.588024     0 0.4947688154 0.6684980
## 1417 2011-12-16  8.485496     0 0.4951063112 0.6605171
## 1418 2011-12-17  8.189800     0 0.4954438070 0.6374999
## 1419 2011-12-18  9.496872     0 0.4957813027 0.7392433
## 1420 2011-12-19  9.462810     0 0.4961187985 0.7365919
## 1421 2011-12-20  8.843471     0 0.4964562943 0.6883821
## 1422 2011-12-21  8.363109     0 0.4967937901 0.6509904
## 1423 2011-12-22  8.605753     0 0.4971312859 0.6698780
## 1424 2011-12-23  6.586172     0 0.4974687816 0.5126723
## 1425 2011-12-26  7.635787     0 0.4984812690 0.5943751
## 1426 2011-12-27  9.248792     0 0.4988187648 0.7199326
## 1427 2011-12-28  8.880725     0 0.4991562605 0.6912820
## 1428 2011-12-29  8.696176     0 0.4994937563 0.6769166
## 1429 2011-12-30  8.453827     0 0.4998312521 0.6580520
## 1430 2011-12-31  8.144679     0 0.5001687479 0.6339877
## 1431 2012-01-01  9.076352     0 0.5005062437 0.7065097
## 1432 2012-01-02 10.244699     0 0.5008437395 0.7974547
## 1433 2012-01-03  9.858281     0 0.5011812352 0.7673757
## 1434 2012-01-04  9.187583     0 0.5015187310 0.7151681
## 1435 2012-01-05  8.762490     0 0.5018562268 0.6820785
## 1436 2012-01-06  8.501673     0 0.5021937226 0.6617764
## 1437 2012-01-07  8.655214     0 0.5025312184 0.6737281
## 1438 2012-01-08 10.038892     0 0.5028687141 0.7814346
## 1439 2012-01-09  9.464362     0 0.5032062099 0.7367128
## 1440 2012-01-10  8.973098     0 0.5035437057 0.6984724
## 1441 2012-01-11  8.955577     0 0.5038812015 0.6971086
## 1442 2012-01-12  8.919453     0 0.5042186973 0.6942966
## 1443 2012-01-13  8.726319     0 0.5045561930 0.6792629
## 1444 2012-01-14  8.739216     0 0.5048936888 0.6802669
## 1445 2012-01-15 10.261966     0 0.5052311846 0.7987988
## 1446 2012-01-16 10.569495     0 0.5055686804 0.8227371
## 1447 2012-01-17  9.561208     0 0.5059061762 0.7442513
## 1448 2012-01-18  9.604003     0 0.5062436720 0.7475825
## 1449 2012-01-19 10.086101     0 0.5065811677 0.7851093
## 1450 2012-01-20  9.728420     0 0.5069186635 0.7572672
## 1451 2012-01-21  9.412056     0 0.5072561593 0.7326412
## 1452 2012-01-22  9.843578     0 0.5075936551 0.7662312
## 1453 2012-01-23 11.572175     0 0.5079311509 0.9007864
## 1454 2012-01-24 10.281718     0 0.5082686466 0.8003363
## 1455 2012-01-25 10.169767     0 0.5086061424 0.7916220
## 1456 2012-01-26  9.682903     0 0.5089436382 0.7537241
## 1457 2012-01-27  9.895506     0 0.5092811340 0.7702733
## 1458 2012-01-28  9.376278     0 0.5096186298 0.7298562
## 1459 2012-01-29  9.582180     0 0.5099561255 0.7458838
## 1460 2012-01-30 10.341452     0 0.5102936213 0.8049861
## 1461 2012-01-31 10.333970     0 0.5106311171 0.8044037
## 1462 2012-02-01 10.218225     0 0.5109686129 0.7953940
## 1463 2012-02-02  9.734062     0 0.5113061087 0.7577064
## 1464 2012-02-03 10.187463     0 0.5116436045 0.7929994
## 1465 2012-02-04  9.888577     0 0.5119811002 0.7697339
## 1466 2012-02-05 11.075087     0 0.5123185960 0.8620927
## 1467 2012-02-06 12.673542     0 0.5126560918 0.9865176
## 1468 2012-02-07 10.924697     0 0.5129935876 0.8503862
## 1469 2012-02-08 10.181536     0 0.5133310834 0.7925381
## 1470 2012-02-09  9.863394     0 0.5136685791 0.7677737
## 1471 2012-02-10  9.925738     0 0.5140060749 0.7726266
## 1472 2012-02-11  9.401539     0 0.5143435707 0.7318226
## 1473 2012-02-12  9.334415     0 0.5146810665 0.7265975
## 1474 2012-02-13  9.147507     0 0.5150185623 0.7120485
## 1475 2012-02-14  8.913954     0 0.5153560580 0.6938686
## 1476 2012-02-15  9.180190     0 0.5156935538 0.7145926
## 1477 2012-02-16  9.057189     0 0.5160310496 0.7050181
## 1478 2012-02-17  8.712760     0 0.5163685454 0.6782075
## 1479 2012-02-18  8.403128     0 0.5167060412 0.6541055
## 1480 2012-02-19  8.294799     0 0.5170435370 0.6456731
## 1481 2012-02-20  9.115920     0 0.5173810327 0.7095897
## 1482 2012-02-21  8.951570     0 0.5177185285 0.6967966
## 1483 2012-02-22  8.351375     0 0.5180560243 0.6500770
## 1484 2012-02-23  8.653820     0 0.5183935201 0.6736195
## 1485 2012-02-24  8.642944     0 0.5187310159 0.6727730
## 1486 2012-02-25  8.716208     0 0.5190685116 0.6784759
## 1487 2012-02-26  8.364974     0 0.5194060074 0.6511356
## 1488 2012-02-27  8.373785     0 0.5197435032 0.6518214
## 1489 2012-02-28  8.517193     0 0.5200809990 0.6629844
## 1490 2012-02-29  8.318254     0 0.5204184948 0.6474989
## 1491 2012-03-01  8.395477     0 0.5207559906 0.6535100
## 1492 2012-03-02  8.322880     0 0.5210934863 0.6478590
## 1493 2012-03-03  8.245647     0 0.5214309821 0.6418471
## 1494 2012-03-04  8.631949     0 0.5217684779 0.6719171
## 1495 2012-03-05  8.310661     0 0.5221059737 0.6469078
## 1496 2012-03-06  8.432942     0 0.5224434695 0.6564262
## 1497 2012-03-07 11.644831     0 0.5227809652 0.9064420
## 1498 2012-03-08 11.363288     0 0.5231184610 0.8845265
## 1499 2012-03-09 10.692944     0 0.5234559568 0.8323465
## 1500 2012-03-10 10.334393     0 0.5237934526 0.8044366
## 1501 2012-03-11  9.986081     0 0.5241309484 0.7773237
## 1502 2012-03-12 10.282095     0 0.5244684441 0.8003657
## 1503 2012-03-13 10.194365     0 0.5248059399 0.7935367
## 1504 2012-03-14 10.095471     0 0.5251434357 0.7858387
## 1505 2012-03-15 10.146865     0 0.5254809315 0.7898393
## 1506 2012-03-16 10.140889     0 0.5258184273 0.7893741
## 1507 2012-03-17 10.209537     0 0.5261559231 0.7947177
## 1508 2012-03-18 10.033682     0 0.5264934188 0.7810290
## 1509 2012-03-19 11.082835     0 0.5268309146 0.8626958
## 1510 2012-03-20 11.174483     0 0.5271684104 0.8698298
## 1511 2012-03-21 10.779290     0 0.5275059062 0.8390676
## 1512 2012-03-22  9.947504     0 0.5278434020 0.7743209
## 1513 2012-03-23  9.376024     0 0.5281808977 0.7298365
## 1514 2012-03-24  8.997766     0 0.5285183935 0.7003925
## 1515 2012-03-25  8.832879     0 0.5288558893 0.6875577
## 1516 2012-03-26  8.898229     0 0.5291933851 0.6926445
## 1517 2012-03-27  8.764678     0 0.5295308809 0.6822488
## 1518 2012-03-28  8.541105     0 0.5298683766 0.6648457
## 1519 2012-03-29  8.396155     0 0.5302058724 0.6535627
## 1520 2012-03-30  8.312381     0 0.5305433682 0.6470417
## 1521 2012-03-31  8.341172     0 0.5308808640 0.6492828
## 1522 2012-04-01  8.130059     0 0.5312183598 0.6328496
## 1523 2012-04-02  8.358197     0 0.5315558556 0.6506081
## 1524 2012-04-03  8.355615     0 0.5318933513 0.6504071
## 1525 2012-04-04  8.181720     0 0.5322308471 0.6368710
## 1526 2012-04-05  8.109526     0 0.5325683429 0.6312513
## 1527 2012-04-06  8.064636     0 0.5329058387 0.6277571
## 1528 2012-04-07  7.823246     0 0.5332433345 0.6089671
## 1529 2012-04-08  7.854769     0 0.5335808302 0.6114209
## 1530 2012-04-09  8.101678     0 0.5339183260 0.6306404
## 1531 2012-04-10  8.090402     0 0.5342558218 0.6297627
## 1532 2012-04-11  7.989899     0 0.5345933176 0.6219395
## 1533 2012-04-12  8.098947     0 0.5349308134 0.6304278
## 1534 2012-04-13  8.653820     0 0.5352683091 0.6736195
## 1535 2012-04-14  8.041091     0 0.5356058049 0.6259243
## 1536 2012-04-15  8.049746     0 0.5359433007 0.6265980
## 1537 2012-04-16  8.221479     0 0.5362807965 0.6399658
## 1538 2012-04-17  8.170751     0 0.5366182923 0.6360172
## 1539 2012-04-18  8.335431     0 0.5369557881 0.6488360
## 1540 2012-04-19  8.256607     0 0.5372932838 0.6427002
## 1541 2012-04-20  8.057694     0 0.5376307796 0.6272167
## 1542 2012-04-21  7.707962     0 0.5379682754 0.5999933
## 1543 2012-04-22  7.917172     0 0.5383057712 0.6162784
## 1544 2012-04-23  8.260234     0 0.5386432670 0.6429826
## 1545 2012-04-24  8.288032     0 0.5389807627 0.6451463
## 1546 2012-04-25  8.368693     0 0.5393182585 0.6514251
## 1547 2012-04-26  8.633553     0 0.5396557543 0.6720420
## 1548 2012-04-27  9.272470     0 0.5399932501 0.7217757
## 1549 2012-04-28  8.675564     0 0.5403307459 0.6753121
## 1550 2012-04-29  8.483430     0 0.5406682416 0.6603562
## 1551 2012-05-01  8.171882     0 0.5413432332 0.6361052
## 1552 2012-05-02  8.206584     0 0.5416807290 0.6388064
## 1553 2012-05-03  8.188967     0 0.5420182248 0.6374351
## 1554 2012-05-04  8.030735     0 0.5423557206 0.6251182
## 1555 2012-05-05  8.054840     0 0.5426932163 0.6269945
## 1556 2012-05-06  9.155145     0 0.5430307121 0.7126430
## 1557 2012-05-07  8.833317     0 0.5433682079 0.6875917
## 1558 2012-05-08  8.349721     0 0.5437057037 0.6499483
## 1559 2012-05-09  8.183397     0 0.5440431995 0.6370015
## 1560 2012-05-10  7.956477     0 0.5443806952 0.6193379
## 1561 2012-05-11  7.869402     0 0.5447181910 0.6125599
## 1562 2012-05-12  7.709308     0 0.5450556868 0.6000981
## 1563 2012-05-13  7.819234     0 0.5453931826 0.6086548
## 1564 2012-05-14  7.832411     0 0.5457306784 0.6096805
## 1565 2012-05-15  7.886833     0 0.5460681741 0.6139167
## 1566 2012-05-16  8.037866     0 0.5464056699 0.6256733
## 1567 2012-05-17  7.952615     0 0.5467431657 0.6190373
## 1568 2012-05-18  7.767687     0 0.5470806615 0.6046424
## 1569 2012-05-19  7.478170     0 0.5474181573 0.5821061
## 1570 2012-05-20  7.539027     0 0.5477556531 0.5868433
## 1571 2012-05-21  7.997999     0 0.5480931488 0.6225700
## 1572 2012-05-22  8.309677     0 0.5484306446 0.6468312
## 1573 2012-05-23  8.028781     0 0.5487681404 0.6249661
## 1574 2012-05-24  7.790282     0 0.5491056362 0.6064012
## 1575 2012-05-25  7.761745     0 0.5494431320 0.6041798
## 1576 2012-05-26  7.476472     0 0.5497806277 0.5819740
## 1577 2012-05-27  7.639642     0 0.5501181235 0.5946752
## 1578 2012-05-28  7.655864     0 0.5504556193 0.5959380
## 1579 2012-05-29  7.819636     0 0.5507931151 0.6086861
## 1580 2012-05-30  7.813592     0 0.5511306109 0.6082156
## 1581 2012-05-31  7.990577     0 0.5514681066 0.6219922
## 1582 2012-06-01  7.812783     0 0.5518056024 0.6081526
## 1583 2012-06-02  7.657755     0 0.5521430982 0.5960852
## 1584 2012-06-03  7.694393     0 0.5524805940 0.5989371
## 1585 2012-06-04  7.841493     0 0.5528180898 0.6103874
## 1586 2012-06-05  7.933438     0 0.5531555856 0.6175445
## 1587 2012-06-06  7.651120     0 0.5534930813 0.5955687
## 1588 2012-06-07  7.723562     0 0.5538305771 0.6012076
## 1589 2012-06-08  7.880048     0 0.5541680729 0.6133886
## 1590 2012-06-09  7.940940     0 0.5545055687 0.6181285
## 1591 2012-06-10  7.758761     0 0.5548430645 0.6039475
## 1592 2012-06-11  7.633370     0 0.5551805602 0.5941870
## 1593 2012-06-12  7.848543     0 0.5555180560 0.6109363
## 1594 2012-06-13  7.897296     0 0.5558555518 0.6147312
## 1595 2012-06-14  7.722235     0 0.5561930476 0.6011043
## 1596 2012-06-15  7.712444     0 0.5565305434 0.6003422
## 1597 2012-06-16  7.539559     0 0.5568680391 0.5868847
## 1598 2012-06-17  7.911691     0 0.5572055349 0.6158517
## 1599 2012-06-18  7.801391     0 0.5575430307 0.6072659
## 1600 2012-06-19  8.401333     0 0.5578805265 0.6539658
## 1601 2012-06-20  8.181441     0 0.5582180223 0.6368492
## 1602 2012-06-21  7.862882     0 0.5585555181 0.6120524
## 1603 2012-06-22  7.924072     0 0.5588930138 0.6168155
## 1604 2012-06-23  7.566828     0 0.5592305096 0.5890074
## 1605 2012-06-24  7.519150     0 0.5595680054 0.5852960
## 1606 2012-06-25  7.648740     0 0.5599055012 0.5953834
## 1607 2012-06-26  7.770645     0 0.5602429970 0.6048726
## 1608 2012-06-27  7.609862     0 0.5605804927 0.5923571
## 1609 2012-06-28  7.591862     0 0.5609179885 0.5909560
## 1610 2012-06-29  7.539027     0 0.5612554843 0.5868433
## 1611 2012-06-30  7.345365     0 0.5615929801 0.5717685
## 1612 2012-07-01  7.463363     0 0.5619304759 0.5809535
## 1613 2012-07-02  7.514800     0 0.5622679717 0.5849574
## 1614 2012-07-03  7.642524     0 0.5626054674 0.5948996
## 1615 2012-07-04  7.676010     0 0.5629429632 0.5975061
## 1616 2012-07-05  7.557995     0 0.5632804590 0.5883198
## 1617 2012-07-06  7.688913     0 0.5636179548 0.5985105
## 1618 2012-07-07  7.606387     0 0.5639554506 0.5920867
## 1619 2012-07-08  7.582229     0 0.5642929463 0.5902062
## 1620 2012-07-09  7.741968     0 0.5646304421 0.6026403
## 1621 2012-07-10  7.782390     0 0.5649679379 0.6057869
## 1622 2012-07-11  8.006368     0 0.5653054337 0.6232214
## 1623 2012-07-12  8.651025     0 0.5656429295 0.6734020
## 1624 2012-07-13  8.403576     0 0.5659804252 0.6541404
## 1625 2012-07-14  8.385032     0 0.5663179210 0.6526969
## 1626 2012-07-15  8.028129     0 0.5666554168 0.6249153
## 1627 2012-07-16  7.957877     0 0.5669929126 0.6194469
## 1628 2012-07-17  7.995307     0 0.5673304084 0.6223604
## 1629 2012-07-18  7.992269     0 0.5676679042 0.6221239
## 1630 2012-07-19  7.935945     0 0.5680053999 0.6177397
## 1631 2012-07-20  7.987864     0 0.5683428957 0.6217811
## 1632 2012-07-21  7.783641     0 0.5686803915 0.6058842
## 1633 2012-07-22  7.808729     0 0.5690178873 0.6078371
## 1634 2012-07-23  8.053251     0 0.5693553831 0.6268709
## 1635 2012-07-24  7.975908     0 0.5696928788 0.6208504
## 1636 2012-07-25  8.122371     0 0.5700303746 0.6322512
## 1637 2012-07-26  8.559869     0 0.5703678704 0.6663064
## 1638 2012-07-27  8.927447     0 0.5707053662 0.6949189
## 1639 2012-07-28  8.285765     0 0.5710428620 0.6449699
## 1640 2012-07-29  8.283999     0 0.5713803577 0.6448325
## 1641 2012-07-30  8.163371     0 0.5717178535 0.6354427
## 1642 2012-07-31  7.914252     0 0.5720553493 0.6160511
## 1643 2012-08-01  7.864420     0 0.5723928451 0.6121721
## 1644 2012-08-02  8.072155     0 0.5727303409 0.6283424
## 1645 2012-08-03  8.080237     0 0.5730678367 0.6289715
## 1646 2012-08-04  8.120886     0 0.5734053324 0.6321356
## 1647 2012-08-05  8.113127     0 0.5737428282 0.6315316
## 1648 2012-08-06  8.144389     0 0.5740803240 0.6339651
## 1649 2012-08-07  8.064636     0 0.5744178198 0.6277571
## 1650 2012-08-08  7.944847     0 0.5747553156 0.6184326
## 1651 2012-08-09  8.241440     0 0.5750928113 0.6415196
## 1652 2012-08-10  9.007367     0 0.5754303071 0.7011399
## 1653 2012-08-11  8.662332     0 0.5757678029 0.6742821
## 1654 2012-08-12  8.800566     0 0.5761052987 0.6850424
## 1655 2012-08-13  8.374246     0 0.5764427945 0.6518573
## 1656 2012-08-14  8.564077     0 0.5767802902 0.6666339
## 1657 2012-08-15  8.384347     0 0.5771177860 0.6526436
## 1658 2012-08-16  8.126518     0 0.5774552818 0.6325740
## 1659 2012-08-17  8.390723     0 0.5777927776 0.6531399
## 1660 2012-08-18  8.335192     0 0.5781302734 0.6488173
## 1661 2012-08-19  8.927845     0 0.5784677692 0.6949499
## 1662 2012-08-20  9.007979     0 0.5788052649 0.7011876
## 1663 2012-08-21  8.378161     0 0.5791427607 0.6521621
## 1664 2012-08-22  8.203304     0 0.5794802565 0.6385511
## 1665 2012-08-23  8.385717     0 0.5798177523 0.6527502
## 1666 2012-08-24  8.311153     0 0.5801552481 0.6469461
## 1667 2012-08-25  8.741456     0 0.5804927438 0.6804412
## 1668 2012-08-26  9.442959     0 0.5808302396 0.7350467
## 1669 2012-08-27  9.145909     0 0.5811677354 0.7119241
## 1670 2012-08-28  8.589514     0 0.5815052312 0.6686139
## 1671 2012-08-29  8.464847     0 0.5818427270 0.6589097
## 1672 2012-08-30  8.365905     0 0.5821802227 0.6512081
## 1673 2012-08-31  8.565412     0 0.5825177185 0.6667378
## 1674 2012-09-01  8.472405     0 0.5828552143 0.6594981
## 1675 2012-09-02  8.966484     0 0.5831927101 0.6979575
## 1676 2012-09-03  8.560061     0 0.5835302059 0.6663213
## 1677 2012-09-04  8.469053     0 0.5838677017 0.6592372
## 1678 2012-09-05  8.743851     0 0.5842051974 0.6806276
## 1679 2012-09-06 10.013821     0 0.5845426932 0.7794830
## 1680 2012-09-07  8.691146     0 0.5848801890 0.6765251
## 1681 2012-09-08  8.780941     0 0.5852176848 0.6835148
## 1682 2012-09-09  9.839002     0 0.5855551806 0.7658750
## 1683 2012-09-10 11.614940     0 0.5858926763 0.9041153
## 1684 2012-09-11  9.628656     0 0.5862301721 0.7495015
## 1685 2012-09-12  8.782936     0 0.5865676679 0.6836701
## 1686 2012-09-13  8.681181     0 0.5869051637 0.6757494
## 1687 2012-09-14  9.000976     0 0.5872426595 0.7006425
## 1688 2012-09-15  8.746239     0 0.5875801552 0.6808135
## 1689 2012-09-16  9.807252     0 0.5879176510 0.7634035
## 1690 2012-09-17  9.612667     0 0.5882551468 0.7482569
## 1691 2012-09-18 10.592099     0 0.5885926426 0.8244966
## 1692 2012-09-19  8.755422     0 0.5889301384 0.6815284
## 1693 2012-09-20  8.560636     0 0.5892676342 0.6663660
## 1694 2012-09-21  9.405167     0 0.5896051299 0.7321049
## 1695 2012-09-22  8.458080     0 0.5899426257 0.6583830
## 1696 2012-09-23  9.549594     0 0.5902801215 0.7433473
## 1697 2012-09-24  9.606024     0 0.5906176173 0.7477398
## 1698 2012-09-25  8.677269     0 0.5909551131 0.6754449
## 1699 2012-09-26  8.171034     0 0.5912926088 0.6360392
## 1700 2012-09-27  8.241440     0 0.5916301046 0.6415196
## 1701 2012-09-28  8.510974     0 0.5919676004 0.6625003
## 1702 2012-09-29  8.323608     0 0.5923050962 0.6479157
## 1703 2012-09-30  9.259226     0 0.5926425920 0.7207448
## 1704 2012-10-01  9.849665     0 0.5929800877 0.7667050
## 1705 2012-10-02  8.833171     0 0.5933175835 0.6875804
## 1706 2012-10-03  8.497806     0 0.5936550793 0.6614754
## 1707 2012-10-04  8.634087     0 0.5939925751 0.6720835
## 1708 2012-10-05  9.042277     0 0.5943300709 0.7038573
## 1709 2012-10-06  8.550048     0 0.5946675667 0.6655418
## 1710 2012-10-07  9.818093     0 0.5950050624 0.7642474
## 1711 2012-10-08  9.902087     0 0.5953425582 0.7707855
## 1712 2012-10-09  8.916372     0 0.5956800540 0.6940568
## 1713 2012-10-10  8.332068     0 0.5960175498 0.6485741
## 1714 2012-10-11  8.236685     0 0.5963550456 0.6411495
## 1715 2012-10-12  8.401782     0 0.5966925413 0.6540008
## 1716 2012-10-13  8.241703     0 0.5970300371 0.6415401
## 1717 2012-10-14  9.035630     0 0.5973675329 0.7033399
## 1718 2012-10-15  9.104091     0 0.5977050287 0.7086689
## 1719 2012-10-16 10.832142     0 0.5980425245 0.8431817
## 1720 2012-10-17  8.778788     0 0.5983800202 0.6833472
## 1721 2012-10-18  8.480114     0 0.5987175160 0.6600982
## 1722 2012-10-19  8.489411     0 0.5990550118 0.6608218
## 1723 2012-10-20  8.250620     0 0.5993925076 0.6422342
## 1724 2012-10-21  9.543450     0 0.5997300034 0.7428690
## 1725 2012-10-22  9.097172     0 0.6000674992 0.7081304
## 1726 2012-10-23  8.669399     0 0.6004049949 0.6748323
## 1727 2012-10-24  8.349248     0 0.6007424907 0.6499114
## 1728 2012-10-25  8.340695     0 0.6010799865 0.6492457
## 1729 2012-10-26  8.494743     0 0.6014174823 0.6612369
## 1730 2012-10-27  8.533263     0 0.6017549781 0.6642353
## 1731 2012-10-28  9.219796     0 0.6020924738 0.7176755
## 1732 2012-10-29 10.444299     0 0.6024299696 0.8129917
## 1733 2012-10-30  8.876963     0 0.6027674654 0.6909892
## 1734 2012-10-31  8.681860     0 0.6031049612 0.6758022
## 1735 2012-11-01  8.498214     0 0.6034424570 0.6615071
## 1736 2012-11-02  8.568456     0 0.6037799528 0.6669748
## 1737 2012-11-03  8.458716     0 0.6041174485 0.6584325
## 1738 2012-11-04  9.718182     0 0.6044549443 0.7564702
## 1739 2012-11-05  9.687009     0 0.6047924401 0.7540438
## 1740 2012-11-06  8.830104     0 0.6051299359 0.6873417
## 1741 2012-11-07  8.387995     0 0.6054674317 0.6529276
## 1742 2012-11-08  8.498418     0 0.6058049274 0.6615230
## 1743 2012-11-09  8.847216     0 0.6061424232 0.6886737
## 1744 2012-11-10  8.280964     0 0.6064799190 0.6445962
## 1745 2012-11-11  9.264923     0 0.6068174148 0.7211883
## 1746 2012-11-12  9.111735     0 0.6071549106 0.7092640
## 1747 2012-11-13  8.706821     0 0.6074924063 0.6777452
## 1748 2012-11-14  8.331827     0 0.6078299021 0.6485554
## 1749 2012-11-15  8.366603     0 0.6081673979 0.6512624
## 1750 2012-11-16  8.276903     0 0.6085048937 0.6442801
## 1751 2012-11-17  8.129470     0 0.6088423895 0.6328038
## 1752 2012-11-18  9.179159     0 0.6091798853 0.7145123
## 1753 2012-11-19  9.685580     0 0.6095173810 0.7539325
## 1754 2012-11-20  8.655214     0 0.6098548768 0.6737281
## 1755 2012-11-21  8.294550     0 0.6101923726 0.6456537
## 1756 2012-11-22  8.652248     0 0.6105298684 0.6734972
## 1757 2012-11-23  8.929700     0 0.6108673642 0.6950943
## 1758 2012-11-24  8.395929     0 0.6112048599 0.6535451
## 1759 2012-11-25  9.467537     0 0.6115423557 0.7369599
## 1760 2012-11-26  9.889794     0 0.6118798515 0.7698287
## 1761 2012-11-27  8.849227     0 0.6122173473 0.6888302
## 1762 2012-11-28  8.614320     0 0.6125548431 0.6705448
## 1763 2012-11-29  8.481566     0 0.6128923388 0.6602112
## 1764 2012-11-30  8.749098     0 0.6132298346 0.6810361
## 1765 2012-12-01  8.653645     0 0.6135673304 0.6736060
## 1766 2012-12-02  9.348275     0 0.6139048262 0.7276764
## 1767 2012-12-03  9.676838     0 0.6142423220 0.7532520
## 1768 2012-12-04  9.642902     0 0.6145798178 0.7506104
## 1769 2012-12-05  8.728912     0 0.6149173135 0.6794648
## 1770 2012-12-06  8.778942     0 0.6152548093 0.6833591
## 1771 2012-12-07  9.960577     0 0.6155923051 0.7753384
## 1772 2012-12-08  8.737773     0 0.6159298009 0.6801546
## 1773 2012-12-09  9.252633     0 0.6162672967 0.7202316
## 1774 2012-12-10  9.266248     0 0.6166047924 0.7212914
## 1775 2012-12-11  9.427305     0 0.6169422882 0.7338282
## 1776 2012-12-12  8.793005     0 0.6172797840 0.6844538
## 1777 2012-12-13  8.703009     0 0.6176172798 0.6774484
## 1778 2012-12-14  8.439448     0 0.6179547756 0.6569327
## 1779 2012-12-15  8.291045     0 0.6182922713 0.6453809
## 1780 2012-12-16  9.313258     0 0.6186297671 0.7249507
## 1781 2012-12-17  9.347926     0 0.6189672629 0.7276493
## 1782 2012-12-18  8.791486     0 0.6193047587 0.6843356
## 1783 2012-12-19  8.518992     0 0.6196422545 0.6631244
## 1784 2012-12-20  8.412943     0 0.6199797503 0.6548695
## 1785 2012-12-21  8.296796     0 0.6203172460 0.6458285
## 1786 2012-12-22  8.212568     0 0.6206547418 0.6392722
## 1787 2012-12-23  9.256556     0 0.6209922376 0.7205369
## 1788 2012-12-24  9.652266     0 0.6213297334 0.7513393
## 1789 2012-12-25  8.637462     0 0.6216672292 0.6723462
## 1790 2012-12-26  8.607765     0 0.6220047249 0.6700346
## 1791 2012-12-27  8.965335     0 0.6223422207 0.6978681
## 1792 2012-12-28  8.683724     0 0.6226797165 0.6759473
## 1793 2012-12-29  8.532673     0 0.6230172123 0.6641894
## 1794 2012-12-30  9.490167     0 0.6233547081 0.7387214
## 1795 2012-12-31 10.142859     0 0.6236922038 0.7895274
## 1796 2013-01-01  9.111624     0 0.6240296996 0.7092554
## 1797 2013-01-02  9.085004     0 0.6243671954 0.7071832
## 1798 2013-01-03  9.055089     0 0.6247046912 0.7048546
## 1799 2013-01-04  9.336268     0 0.6250421870 0.7267418
## 1800 2013-01-05  9.239608     0 0.6253796828 0.7192177
## 1801 2013-01-06 10.132732     0 0.6257171785 0.7887392
## 1802 2013-01-07  9.491224     0 0.6260546743 0.7388037
## 1803 2013-01-08  9.112286     0 0.6263921701 0.7093069
## 1804 2013-01-09  9.063579     0 0.6267296659 0.7055155
## 1805 2013-01-10  8.972971     0 0.6270671617 0.6984625
## 1806 2013-01-11  9.145482     0 0.6274046574 0.7118909
## 1807 2013-01-12 10.541862     0 0.6277421532 0.8205861
## 1808 2013-01-13 11.507521     0 0.6280796490 0.8957537
## 1809 2013-01-14 10.193168     0 0.6284171448 0.7934435
## 1810 2013-01-15  9.279960     0 0.6287546406 0.7223587
## 1811 2013-01-16  8.846353     0 0.6290921363 0.6886065
## 1812 2013-01-17  8.732627     0 0.6294296321 0.6797540
## 1813 2013-01-18  8.655040     0 0.6297671279 0.6737145
## 1814 2013-01-19  8.454466     0 0.6301046237 0.6581017
## 1815 2013-01-20  8.963672     0 0.6304421195 0.6977387
## 1816 2013-01-21 10.021093     0 0.6307796153 0.7800491
## 1817 2013-01-22  9.005650     0 0.6311171110 0.7010063
## 1818 2013-01-23  8.860925     0 0.6314546068 0.6897407
## 1819 2013-01-24  8.585226     0 0.6317921026 0.6682801
## 1820 2013-01-25  8.536211     0 0.6321295984 0.6644648
## 1821 2013-01-26  8.458504     0 0.6324670942 0.6584160
## 1822 2013-01-27  8.534444     0 0.6328045899 0.6643272
## 1823 2013-01-28 10.104222     0 0.6331420857 0.7865199
## 1824 2013-01-29  8.650675     0 0.6334795815 0.6733747
## 1825 2013-01-30  8.512181     0 0.6338170773 0.6625943
## 1826 2013-01-31  8.485496     0 0.6341545731 0.6605171
## 1827 2013-02-01  8.577912     0 0.6344920688 0.6677108
## 1828 2013-02-02  8.549854     0 0.6348295646 0.6655268
## 1829 2013-02-03  9.606226     0 0.6351670604 0.7477556
## 1830 2013-02-04 10.026192     0 0.6355045562 0.7804460
## 1831 2013-02-05  8.870242     0 0.6358420520 0.6904660
## 1832 2013-02-06  8.527935     0 0.6361795478 0.6638206
## 1833 2013-02-07  8.383433     0 0.6365170435 0.6525725
## 1834 2013-02-08  8.200837     0 0.6368545393 0.6383591
## 1835 2013-02-09  8.092851     0 0.6371920351 0.6299533
## 1836 2013-02-10  8.038835     0 0.6375295309 0.6257487
## 1837 2013-02-11  8.086410     0 0.6378670267 0.6294520
## 1838 2013-02-12  8.036573     0 0.6382045224 0.6255726
## 1839 2013-02-13  7.975221     0 0.6385420182 0.6207969
## 1840 2013-02-14  7.842671     0 0.6388795140 0.6104792
## 1841 2013-02-15  7.893572     0 0.6392170098 0.6144413
## 1842 2013-02-16  7.817625     0 0.6395545056 0.6085296
## 1843 2013-02-17  7.822845     0 0.6398920013 0.6089359
## 1844 2013-02-18  7.967280     0 0.6402294971 0.6201788
## 1845 2013-02-19  8.006701     0 0.6405669929 0.6232473
## 1846 2013-02-20  7.911324     0 0.6409044887 0.6158231
## 1847 2013-02-21  7.851661     0 0.6412419845 0.6111789
## 1848 2013-02-22  7.872074     0 0.6415794803 0.6127679
## 1849 2013-02-23  7.753624     0 0.6419169760 0.6035476
## 1850 2013-02-24  7.682943     0 0.6422544718 0.5980458
## 1851 2013-02-25  7.843849     0 0.6425919676 0.6105708
## 1852 2013-02-26  8.191463     0 0.6429294634 0.6376294
## 1853 2013-02-27  7.978311     0 0.6432669592 0.6210375
## 1854 2013-02-28  7.923348     0 0.6436044549 0.6167591
## 1855 2013-03-01  7.871311     0 0.6439419507 0.6127085
## 1856 2013-03-02  7.743703     0 0.6442794465 0.6027754
## 1857 2013-03-03  7.778630     0 0.6446169423 0.6054942
## 1858 2013-03-04  7.835184     0 0.6449544381 0.6098963
## 1859 2013-03-05  7.838343     0 0.6452919339 0.6101423
## 1860 2013-03-06  7.846199     0 0.6456294296 0.6107537
## 1861 2013-03-07  7.920447     0 0.6459669254 0.6165332
## 1862 2013-03-08  7.757906     0 0.6463044212 0.6038810
## 1863 2013-03-09  7.586296     0 0.6466419170 0.5905228
## 1864 2013-03-10  7.514800     0 0.6469794128 0.5849574
## 1865 2013-03-11  7.757906     0 0.6473169085 0.6038810
## 1866 2013-03-12  7.803435     0 0.6476544043 0.6074250
## 1867 2013-03-13  8.078998     0 0.6479919001 0.6288750
## 1868 2013-03-14  8.380686     0 0.6483293959 0.6523586
## 1869 2013-03-15  8.064322     0 0.6486668917 0.6277326
## 1870 2013-03-16  7.852828     0 0.6490043874 0.6112698
## 1871 2013-03-17  7.903966     0 0.6493418832 0.6152504
## 1872 2013-03-18  7.844633     0 0.6496793790 0.6106318
## 1873 2013-03-19  7.889459     0 0.6500168748 0.6141212
## 1874 2013-03-20  8.225503     0 0.6503543706 0.6402791
## 1875 2013-03-21  8.540714     0 0.6506918664 0.6648153
## 1876 2013-03-22  8.019284     0 0.6510293621 0.6242268
## 1877 2013-03-23  7.831220     0 0.6513668579 0.6095878
## 1878 2013-03-24  8.433159     0 0.6517043537 0.6564432
## 1879 2013-03-25  8.096208     0 0.6520418495 0.6302147
## 1880 2013-03-26  7.866339     0 0.6523793453 0.6123215
## 1881 2013-03-27  7.779049     0 0.6527168410 0.6055267
## 1882 2013-03-28  7.773594     0 0.6530543368 0.6051022
## 1883 2013-03-29  7.772753     0 0.6533918326 0.6050367
## 1884 2013-03-30  7.768110     0 0.6537293284 0.6046753
## 1885 2013-03-31  7.480992     0 0.6540668242 0.5823258
## 1886 2013-04-01  7.743703     0 0.6544043199 0.6027754
## 1887 2013-04-02  7.596392     0 0.6547418157 0.5913086
## 1888 2013-04-03  7.680637     0 0.6550793115 0.5978663
## 1889 2013-04-04  7.538495     0 0.6554168073 0.5868019
## 1890 2013-04-05  7.450080     0 0.6557543031 0.5799195
## 1891 2013-04-06  7.443078     0 0.6560917989 0.5793746
## 1892 2013-04-07  7.548556     0 0.6564292946 0.5875850
## 1893 2013-04-08  7.640604     0 0.6567667904 0.5947501
## 1894 2013-04-09  7.676474     0 0.6571042862 0.5975422
## 1895 2013-04-10  7.567346     0 0.6574417820 0.5890476
## 1896 2013-04-11  8.076826     0 0.6577792778 0.6287059
## 1897 2013-04-12  7.701200     0 0.6581167735 0.5994670
## 1898 2013-04-13  7.368340     0 0.6584542693 0.5735569
## 1899 2013-04-14  7.366445     0 0.6587917651 0.5734094
## 1900 2013-04-15  7.486613     0 0.6591292609 0.5827634
## 1901 2013-04-16  7.574045     0 0.6594667567 0.5895691
## 1902 2013-04-17  7.568896     0 0.6598042524 0.5891683
## 1903 2013-04-18  7.639642     0 0.6601417482 0.5946752
## 1904 2013-04-19  7.853216     0 0.6604792440 0.6113000
## 1905 2013-04-20  7.311886     0 0.6608167398 0.5691625
## 1906 2013-04-21  7.536364     0 0.6611542356 0.5866360
## 1907 2013-04-22  7.682482     0 0.6614917314 0.5980099
## 1908 2013-04-23  7.731931     0 0.6618292271 0.6018590
## 1909 2013-04-24  8.012018     0 0.6621667229 0.6236613
## 1910 2013-04-25  7.980366     0 0.6625042187 0.6211974
## 1911 2013-04-26  8.171317     0 0.6628417145 0.6360612
## 1912 2013-04-27  7.977968     0 0.6631792103 0.6210108
## 1913 2013-04-28  7.794823     0 0.6635167060 0.6067546
## 1914 2013-04-29  8.304247     0 0.6638542018 0.6464086
## 1915 2013-04-30  8.056427     0 0.6641916976 0.6271180
## 1916 2013-05-01  7.777793     0 0.6645291934 0.6054290
## 1917 2013-05-02  8.228978     0 0.6648666892 0.6405495
## 1918 2013-05-03  7.900637     0 0.6652041849 0.6149912
## 1919 2013-05-04  7.461640     0 0.6655416807 0.5808194
## 1920 2013-05-05  7.549083     0 0.6658791765 0.5876260
## 1921 2013-05-06  7.816820     0 0.6662166723 0.6084669
## 1922 2013-05-07  7.722235     0 0.6665541681 0.6011043
## 1923 2013-05-08  7.715570     0 0.6668916639 0.6005855
## 1924 2013-05-09  7.726213     0 0.6672291596 0.6014139
## 1925 2013-05-10  7.581720     0 0.6675666554 0.5901665
## 1926 2013-05-11  7.265430     0 0.6679041512 0.5655463
## 1927 2013-05-12  7.301148     0 0.6682416470 0.5683266
## 1928 2013-05-13  7.474205     0 0.6685791428 0.5817975
## 1929 2013-05-14  7.588830     0 0.6689166385 0.5907200
## 1930 2013-05-15  7.610853     0 0.6692541343 0.5924342
## 1931 2013-05-16  7.647786     0 0.6695916301 0.5953092
## 1932 2013-05-17  7.601902     0 0.6699291259 0.5917375
## 1933 2013-05-18  7.254178     0 0.6702666217 0.5646704
## 1934 2013-05-19  7.180070     0 0.6706041174 0.5589018
## 1935 2013-05-20  7.377134     0 0.6709416132 0.5742414
## 1936 2013-05-21  7.575072     0 0.6712791090 0.5896490
## 1937 2013-05-22  7.507141     0 0.6716166048 0.5843613
## 1938 2013-05-23  7.585789     0 0.6719541006 0.5904832
## 1939 2013-05-24  7.407318     0 0.6722915964 0.5765909
## 1940 2013-05-25  7.030857     0 0.6726290921 0.5472870
## 1941 2013-05-26  7.150701     0 0.6729665879 0.5566157
## 1942 2013-05-27  7.254178     0 0.6733040837 0.5646704
## 1943 2013-05-28  7.450661     0 0.6736415795 0.5799648
## 1944 2013-05-29  7.551187     0 0.6739790753 0.5877898
## 1945 2013-05-30  7.613325     0 0.6743165710 0.5926267
## 1946 2013-05-31  7.427144     0 0.6746540668 0.5781342
## 1947 2013-06-01  7.350516     0 0.6749915626 0.5721695
## 1948 2013-06-02  7.288244     0 0.6753290584 0.5673222
## 1949 2013-06-03  7.434848     0 0.6756665542 0.5787339
## 1950 2013-06-04  7.537430     0 0.6760040499 0.5867190
## 1951 2013-06-05  7.352441     0 0.6763415457 0.5723193
## 1952 2013-06-06  7.282074     0 0.6766790415 0.5668418
## 1953 2013-06-07  7.303170     0 0.6770165373 0.5684840
## 1954 2013-06-08  7.293698     0 0.6773540331 0.5677467
## 1955 2013-06-09  7.229839     0 0.6776915289 0.5627758
## 1956 2013-06-10  7.575072     0 0.6780290246 0.5896490
## 1957 2013-06-11  7.974189     0 0.6783665204 0.6207166
## 1958 2013-06-12  7.615791     0 0.6787040162 0.5928186
## 1959 2013-06-13  7.474205     0 0.6790415120 0.5817975
## 1960 2013-06-14  7.334329     0 0.6793790078 0.5709095
## 1961 2013-06-15  7.319202     0 0.6797165035 0.5697320
## 1962 2013-06-16  7.404888     0 0.6800539993 0.5764018
## 1963 2013-06-17  7.424762     0 0.6803914951 0.5779488
## 1964 2013-06-18  7.470224     0 0.6807289909 0.5814876
## 1965 2013-06-19  7.367709     0 0.6810664867 0.5735077
## 1966 2013-06-20  7.284135     0 0.6814039825 0.5670023
## 1967 2013-06-21  7.325808     0 0.6817414782 0.5702461
## 1968 2013-06-22  7.290975     0 0.6820789740 0.5675347
## 1969 2013-06-23  7.191429     0 0.6824164698 0.5597860
## 1970 2013-06-24  7.289611     0 0.6827539656 0.5674285
## 1971 2013-06-25  7.332369     0 0.6830914614 0.5707569
## 1972 2013-06-26  7.395722     0 0.6834289571 0.5756883
## 1973 2013-06-27  7.567346     0 0.6837664529 0.5890476
## 1974 2013-06-28  7.621195     0 0.6841039487 0.5932393
## 1975 2013-06-29  7.268920     0 0.6844414445 0.5658180
## 1976 2013-06-30  7.269617     0 0.6847789403 0.5658722
## 1977 2013-07-01  7.307873     0 0.6851164360 0.5688501
## 1978 2013-07-02  7.281386     0 0.6854539318 0.5667883
## 1979 2013-07-03  7.321189     0 0.6857914276 0.5698866
## 1980 2013-07-04  7.512071     0 0.6861289234 0.5847450
## 1981 2013-07-05  7.500529     0 0.6864664192 0.5838466
## 1982 2013-07-06  7.113142     0 0.6868039150 0.5536921
## 1983 2013-07-07  7.142037     0 0.6871414107 0.5559413
## 1984 2013-07-08  7.323831     0 0.6874789065 0.5700922
## 1985 2013-07-09  7.428927     0 0.6878164023 0.5782730
## 1986 2013-07-10  7.528869     0 0.6881538981 0.5860526
## 1987 2013-07-11  7.419980     0 0.6884913939 0.5775766
## 1988 2013-07-12  7.473069     0 0.6888288896 0.5817091
## 1989 2013-07-13  7.337588     0 0.6891663854 0.5711631
## 1990 2013-07-14  7.354362     0 0.6895038812 0.5724688
## 1991 2013-07-15  7.582738     0 0.6898413770 0.5902458
## 1992 2013-07-16  7.626083     0 0.6901788728 0.5936198
## 1993 2013-07-17  7.759614     0 0.6905163685 0.6040139
## 1994 2013-07-18  7.940584     0 0.6908538643 0.6181007
## 1995 2013-07-19  7.590852     0 0.6911913601 0.5908774
## 1996 2013-07-20  7.418181     0 0.6915288559 0.5774365
## 1997 2013-07-21  7.411556     0 0.6918663517 0.5769209
## 1998 2013-07-22  7.597898     0 0.6922038475 0.5914258
## 1999 2013-07-24  6.635947     0 0.6928788390 0.5165468
## 2000 2013-07-25  7.647309     0 0.6932163348 0.5952720
## 2001 2013-07-26  7.827640     0 0.6935538306 0.6093091
## 2002 2013-07-27  7.633854     0 0.6938913264 0.5942246
## 2003 2013-07-28  8.530307     0 0.6942288221 0.6640052
## 2004 2013-07-29  8.529517     0 0.6945663179 0.6639437
## 2005 2013-07-30  7.851272     0 0.6949038137 0.6111486
## 2006 2013-07-31  7.795647     0 0.6952413095 0.6068187
## 2007 2013-08-01  7.582229     0 0.6955788053 0.5902062
## 2008 2013-08-02  7.438972     0 0.6959163010 0.5790549
## 2009 2013-08-03  7.638680     0 0.6962537968 0.5946003
## 2010 2013-08-04  7.527256     0 0.6965912926 0.5859270
## 2011 2013-08-05  7.724888     0 0.6969287884 0.6013109
## 2012 2013-08-06  7.913521     0 0.6972662842 0.6159942
## 2013 2013-08-07  8.659560     0 0.6976037800 0.6740664
## 2014 2013-08-08  8.295798     0 0.6979412757 0.6457509
## 2015 2013-08-09  8.132413     0 0.6982787715 0.6330328
## 2016 2013-08-10  7.925519     0 0.6986162673 0.6169281
## 2017 2013-08-11  7.828436     0 0.6989537631 0.6093711
## 2018 2013-08-12  7.844241     0 0.6992912589 0.6106013
## 2019 2013-08-13  7.776954     0 0.6996287546 0.6053637
## 2020 2013-08-14  7.766841     0 0.6999662504 0.6045764
## 2021 2013-08-15  7.789869     0 0.7003037462 0.6063690
## 2022 2013-08-16  7.693937     0 0.7006412420 0.5989016
## 2023 2013-08-17  7.715570     0 0.7009787378 0.6005855
## 2024 2013-08-18  8.152774     0 0.7013162335 0.6346178
## 2025 2013-08-19  8.252967     0 0.7016537293 0.6424169
## 2026 2013-08-20  7.941296     0 0.7019912251 0.6181561
## 2027 2013-08-21  7.809541     0 0.7023287209 0.6079003
## 2028 2013-08-22  7.819234     0 0.7026662167 0.6086548
## 2029 2013-08-23  7.812378     0 0.7030037125 0.6081211
## 2030 2013-08-24  7.545390     0 0.7033412082 0.5873386
## 2031 2013-08-25  8.474286     0 0.7036787040 0.6596445
## 2032 2013-08-26  7.791936     0 0.7040161998 0.6065299
## 2033 2013-08-27  7.668094     0 0.7043536956 0.5968899
## 2034 2013-08-28  7.805475     0 0.7046911914 0.6075837
## 2035 2013-08-29  7.967280     0 0.7050286871 0.6201788
## 2036 2013-08-30  7.994295     0 0.7053661829 0.6222817
## 2037 2013-08-31  7.809541     0 0.7057036787 0.6079003
## 2038 2013-09-01  8.703175     0 0.7060411745 0.6774614
## 2039 2013-09-02  7.967280     0 0.7063786703 0.6201788
## 2040 2013-09-03  8.096208     0 0.7067161660 0.6302147
## 2041 2013-09-04  8.037866     0 0.7070536618 0.6256733
## 2042 2013-09-05  8.580168     0 0.7073911576 0.6678864
## 2043 2013-09-06 10.871858     0 0.7077286534 0.8462733
## 2044 2013-09-07  9.192482     0 0.7080661492 0.7155494
## 2045 2013-09-08  9.150697     0 0.7084036450 0.7122968
## 2046 2013-09-09  9.823199     0 0.7087411407 0.7646449
## 2047 2013-09-10  8.768885     0 0.7090786365 0.6825763
## 2048 2013-09-11  8.508556     0 0.7094161323 0.6623121
## 2049 2013-09-12  8.729721     0 0.7097536281 0.6795277
## 2050 2013-09-13  8.921458     0 0.7100911239 0.6944527
## 2051 2013-09-14  8.529912     0 0.7104286196 0.6639745
## 2052 2013-09-15 10.415982     0 0.7107661154 0.8107875
## 2053 2013-09-16 10.336989     0 0.7111036112 0.8046387
## 2054 2013-09-17  9.146442     0 0.7114411070 0.7119656
## 2055 2013-09-18  8.508758     0 0.7117786028 0.6623278
## 2056 2013-09-19  8.386173     0 0.7121160985 0.6527857
## 2057 2013-09-20  8.361007     0 0.7124535943 0.6508268
## 2058 2013-09-21  8.129764     0 0.7127910901 0.6328267
## 2059 2013-09-22  8.731982     0 0.7131285859 0.6797037
## 2060 2013-09-23  8.735847     0 0.7134660817 0.6800046
## 2061 2013-09-24 10.819698     0 0.7138035775 0.8422131
## 2062 2013-09-25 10.659093     0 0.7141410732 0.8297114
## 2063 2013-09-26  9.849454     0 0.7144785690 0.7666885
## 2064 2013-09-27  8.888205     0 0.7148160648 0.6918642
## 2065 2013-09-28  8.927712     0 0.7151535606 0.6949395
## 2066 2013-09-29  9.667385     0 0.7154910564 0.7525162
## 2067 2013-09-30 10.163503     0 0.7158285521 0.7911344
## 2068 2013-10-01  9.337942     0 0.7161660479 0.7268721
## 2069 2013-10-02  9.177197     0 0.7165035437 0.7143596
## 2070 2013-10-03  8.879055     0 0.7168410395 0.6911520
## 2071 2013-10-04  8.578665     0 0.7171785353 0.6677694
## 2072 2013-10-05  8.730044     0 0.7175160310 0.6795529
## 2073 2013-10-06  9.953325     0 0.7178535268 0.7747739
## 2074 2013-10-07 10.238745     0 0.7181910226 0.7969912
## 2075 2013-10-08  9.203114     0 0.7185285184 0.7163770
## 2076 2013-10-09  8.747193     0 0.7188660142 0.6808878
## 2077 2013-10-10  8.775549     0 0.7192035100 0.6830951
## 2078 2013-10-11  9.209840     0 0.7195410057 0.7169006
## 2079 2013-10-12  8.528133     0 0.7198785015 0.6638360
## 2080 2013-10-13  9.057655     0 0.7202159973 0.7050544
## 2081 2013-10-14  9.422949     0 0.7205534931 0.7334891
## 2082 2013-10-15  9.029178     0 0.7208909889 0.7028377
## 2083 2013-10-16  9.097731     0 0.7212284846 0.7081739
## 2084 2013-10-17  9.448097     0 0.7215659804 0.7354466
## 2085 2013-10-18  9.112507     0 0.7219034762 0.7093241
## 2086 2013-10-19  8.802673     0 0.7222409720 0.6852064
## 2087 2013-10-20  9.208439     0 0.7225784678 0.7167915
## 2088 2013-10-21 11.047089     0 0.7229159636 0.8599133
## 2089 2013-10-22  9.327590     0 0.7232534593 0.7260663
## 2090 2013-10-23  8.678802     0 0.7235909551 0.6755642
## 2091 2013-10-24  8.576594     0 0.7239284509 0.6676082
## 2092 2013-10-25  8.435983     0 0.7242659467 0.6566630
## 2093 2013-10-26  8.190077     0 0.7246034425 0.6375215
## 2094 2013-10-27  9.060447     0 0.7249409382 0.7052717
## 2095 2013-10-28  9.270306     0 0.7252784340 0.7216073
## 2096 2013-10-29  8.501673     0 0.7256159298 0.6617764
## 2097 2013-10-30  8.187299     0 0.7259534256 0.6373053
## 2098 2013-10-31  8.095904     0 0.7262909214 0.6301909
## 2099 2013-11-01  8.043342     0 0.7266284171 0.6260995
## 2100 2013-11-02  7.952615     0 0.7269659129 0.6190373
## 2101 2013-11-03  8.399085     0 0.7273034087 0.6537908
## 2102 2013-11-04  8.791030     0 0.7276409045 0.6843001
## 2103 2013-11-05  8.303009     0 0.7279784003 0.6463122
## 2104 2013-11-06  8.119101     0 0.7283158961 0.6319966
## 2105 2013-11-07  8.230311     0 0.7286533918 0.6406533
## 2106 2013-11-08  8.157657     0 0.7289908876 0.6349979
## 2107 2013-11-09  7.829233     0 0.7293283834 0.6094331
## 2108 2013-11-10  8.573952     0 0.7296658792 0.6674025
## 2109 2013-11-11  9.611329     0 0.7300033750 0.7481527
## 2110 2013-11-12  8.923858     0 0.7303408707 0.6946395
## 2111 2013-11-13  8.365440     0 0.7306783665 0.6511718
## 2112 2013-11-14  8.311890     0 0.7310158623 0.6470034
## 2113 2013-11-15  8.631414     0 0.7313533581 0.6718755
## 2114 2013-11-16  8.453827     0 0.7316908539 0.6580520
## 2115 2013-11-17  8.905851     0 0.7320283496 0.6932378
## 2116 2013-11-18 10.867482     0 0.7323658454 0.8459326
## 2117 2013-11-19  9.155145     0 0.7327033412 0.7126430
## 2118 2013-11-20  8.439448     0 0.7330408370 0.6569327
## 2119 2013-11-21  8.443547     0 0.7333783328 0.6572517
## 2120 2013-11-22  8.572628     0 0.7337158286 0.6672995
## 2121 2013-11-23  8.372399     0 0.7340533243 0.6517135
## 2122 2013-11-24  8.736007     0 0.7343908201 0.6800171
## 2123 2013-11-25 10.388503     0 0.7347283159 0.8086485
## 2124 2013-11-26  8.708805     0 0.7350658117 0.6778996
## 2125 2013-11-27  8.195334     0 0.7354033075 0.6379307
## 2126 2013-11-28  8.221479     0 0.7357408032 0.6399658
## 2127 2013-11-29  8.275122     0 0.7360782990 0.6441414
## 2128 2013-11-30  8.169903     0 0.7364157948 0.6359511
## 2129 2013-12-01  8.822322     0 0.7367532906 0.6867359
## 2130 2013-12-02  9.805434     0 0.7370907864 0.7632620
## 2131 2013-12-03  9.389072     0 0.7374282821 0.7308521
## 2132 2013-12-04  8.981304     0 0.7377657779 0.6991112
## 2133 2013-12-05  8.579229     0 0.7381032737 0.6678133
## 2134 2013-12-06  8.487764     0 0.7384407695 0.6606937
## 2135 2013-12-07  8.721928     0 0.7387782653 0.6789212
## 2136 2013-12-08  8.918249     0 0.7391157611 0.6942029
## 2137 2013-12-09  9.651623     0 0.7394532568 0.7512893
## 2138 2013-12-10  8.864747     0 0.7397907526 0.6900382
## 2139 2013-12-11  8.509363     0 0.7401282484 0.6623749
## 2140 2013-12-12  8.631771     0 0.7404657442 0.6719033
## 2141 2013-12-13  9.202711     0 0.7408032400 0.7163457
## 2142 2013-12-14  8.903815     0 0.7411407357 0.6930794
## 2143 2013-12-15  9.026538     0 0.7414782315 0.7026322
## 2144 2013-12-16  9.237664     0 0.7418157273 0.7190664
## 2145 2013-12-17  8.895082     0 0.7421532231 0.6923995
## 2146 2013-12-18  8.642944     0 0.7424907189 0.6727730
## 2147 2013-12-19  8.129764     0 0.7428282146 0.6328267
## 2148 2013-12-20  8.291797     0 0.7431657104 0.6454394
## 2149 2013-12-21  8.098035     0 0.7435032062 0.6303568
## 2150 2013-12-22  9.518780     0 0.7438407020 0.7409487
## 2151 2013-12-23  9.904687     0 0.7441781978 0.7709879
## 2152 2013-12-24  8.937350     0 0.7445156936 0.6956897
## 2153 2013-12-25  8.578853     0 0.7448531893 0.6677840
## 2154 2013-12-26  8.715880     0 0.7451906851 0.6784504
## 2155 2013-12-27  8.488999     0 0.7455281809 0.6607898
## 2156 2013-12-28  8.505728     0 0.7458656767 0.6620920
## 2157 2013-12-29  9.300090     0 0.7462031725 0.7239257
## 2158 2013-12-30 10.146159     0 0.7465406682 0.7897843
## 2159 2013-12-31  9.177094     0 0.7468781640 0.7143516
## 2160 2014-01-01  8.835647     0 0.7472156598 0.6877731
## 2161 2014-01-02  8.832879     0 0.7475531556 0.6875577
## 2162 2014-01-03  8.923058     0 0.7478906514 0.6945773
## 2163 2014-01-04  8.893298     0 0.7482281471 0.6922607
## 2164 2014-01-05  8.602637     0 0.7485656429 0.6696354
## 2165 2014-01-07  8.991438     0 0.7492406345 0.6999000
## 2166 2014-01-08  8.806873     0 0.7495781303 0.6855333
## 2167 2014-01-09  8.854094     0 0.7499156261 0.6892090
## 2168 2014-01-10  8.931023     0 0.7502531218 0.6951973
## 2169 2014-01-11  8.852808     0 0.7505906176 0.6891089
## 2170 2014-01-12 10.693308     0 0.7509281134 0.8323747
## 2171 2014-01-13 11.307560     0 0.7512656092 0.8801886
## 2172 2014-01-14  9.837455     0 0.7516031050 0.7657545
## 2173 2014-01-15  9.605082     0 0.7519406007 0.7476664
## 2174 2014-01-16  9.745371     0 0.7522780965 0.7585866
## 2175 2014-01-17  9.675645     0 0.7526155923 0.7531592
## 2176 2014-01-18  9.434683     0 0.7529530881 0.7344025
## 2177 2014-01-19 11.503622     0 0.7532905839 0.8954502
## 2178 2014-01-20 11.976779     0 0.7536280796 0.9322811
## 2179 2014-01-21 10.542574     0 0.7539655754 0.8206416
## 2180 2014-01-22 10.004283     0 0.7543030712 0.7787405
## 2181 2014-01-23  9.732818     0 0.7546405670 0.7576095
## 2182 2014-01-24  9.866460     0 0.7549780628 0.7680124
## 2183 2014-01-25  9.370927     0 0.7553155586 0.7294397
## 2184 2014-01-26  9.490545     0 0.7556530543 0.7387508
## 2185 2014-01-27 10.139152     0 0.7559905501 0.7892389
## 2186 2014-01-28  9.999843     0 0.7563280459 0.7783949
## 2187 2014-01-29 10.032716     0 0.7566655417 0.7809538
## 2188 2014-01-30 10.380374     0 0.7570030375 0.8080157
## 2189 2014-01-31 10.453053     0 0.7573405332 0.8136731
## 2190 2014-02-01 10.240138     0 0.7576780290 0.7970997
## 2191 2014-02-02 11.760520     0 0.7580155248 0.9154473
## 2192 2014-02-03 12.846747     0 0.7583530206 1.0000000
## 2193 2014-02-04 10.766884     0 0.7586905164 0.8381020
## 2194 2014-02-05  9.845223     0 0.7590280121 0.7663592
## 2195 2014-02-06  9.290352     0 0.7593655079 0.7231677
## 2196 2014-02-07  9.103312     0 0.7597030037 0.7086083
## 2197 2014-02-08  8.795734     0 0.7600404995 0.6846662
## 2198 2014-02-09  8.623353     0 0.7603779953 0.6712480
## 2199 2014-02-10  8.418256     0 0.7607154911 0.6552831
## 2200 2014-02-11  8.310907     0 0.7610529868 0.6469269
## 2201 2014-02-12  8.236156     0 0.7613904826 0.6411083
## 2202 2014-02-13  8.131237     0 0.7617279784 0.6329413
## 2203 2014-02-14  7.927685     0 0.7620654742 0.6170967
## 2204 2014-02-15  7.759187     0 0.7624029700 0.6039807
## 2205 2014-02-16  7.726654     0 0.7627404657 0.6014483
## 2206 2014-02-17  7.835184     0 0.7630779615 0.6098963
## 2207 2014-02-18  7.884200     0 0.7634154573 0.6137118
## 2208 2014-02-19  7.914618     0 0.7637529531 0.6160795
## 2209 2014-02-20  7.925519     0 0.7640904489 0.6169281
## 2210 2014-02-21  7.753194     0 0.7644279447 0.6035142
## 2211 2014-02-22  7.508787     0 0.7647654404 0.5844894
## 2212 2014-02-23  7.557473     0 0.7651029362 0.5882791
## 2213 2014-02-24  7.802618     0 0.7654404320 0.6073614
## 2214 2014-02-25  7.683864     0 0.7657779278 0.5981175
## 2215 2014-02-26  7.984463     0 0.7661154236 0.6215163
## 2216 2014-02-27  7.851661     0 0.7664529193 0.6111789
## 2217 2014-02-28  7.684784     0 0.7667904151 0.5981891
## 2218 2014-03-01  7.337588     0 0.7671279109 0.5711631
## 2219 2014-03-02  7.403670     0 0.7674654067 0.5763070
## 2220 2014-03-03  7.867871     0 0.7678029025 0.6124408
## 2221 2014-03-04  7.898411     0 0.7681403982 0.6148180
## 2222 2014-03-05  7.584265     0 0.7684778940 0.5903646
## 2223 2014-03-06  7.714231     0 0.7688153898 0.6004813
## 2224 2014-03-07  7.889459     0 0.7691528856 0.6141212
## 2225 2014-03-08  7.325808     0 0.7694903814 0.5702461
## 2226 2014-03-09  7.488853     0 0.7698278772 0.5829377
## 2227 2014-03-10  7.553811     0 0.7701653729 0.5879941
## 2228 2014-03-11  7.669962     0 0.7705028687 0.5970353
## 2229 2014-03-12  7.988204     0 0.7708403645 0.6218075
## 2230 2014-03-13  8.004366     0 0.7711778603 0.6230656
## 2231 2014-03-14  7.651120     0 0.7715153561 0.5955687
## 2232 2014-03-15  7.486613     0 0.7718528518 0.5827634
## 2233 2014-03-16  7.449498     0 0.7721903476 0.5798743
## 2234 2014-03-17  7.595387     0 0.7725278434 0.5912304
## 2235 2014-03-18  7.609862     0 0.7728653392 0.5923571
## 2236 2014-03-19  7.548029     0 0.7732028350 0.5875440
## 2237 2014-03-20  7.617760     0 0.7735403307 0.5929719
## 2238 2014-03-21  7.595387     0 0.7738778265 0.5912304
## 2239 2014-03-22  7.346655     0 0.7742153223 0.5718689
## 2240 2014-03-23  7.401231     0 0.7745528181 0.5761172
## 2241 2014-03-24  8.093157     0 0.7748903139 0.6299771
## 2242 2014-03-25  7.923710     0 0.7752278097 0.6167873
## 2243 2014-03-26  7.690743     0 0.7755653054 0.5986530
## 2244 2014-03-27  8.439015     0 0.7759028012 0.6568990
## 2245 2014-03-28  7.782390     0 0.7762402970 0.6057869
## 2246 2014-03-29  7.308543     0 0.7765777928 0.5689022
## 2247 2014-03-30  7.261927     0 0.7769152886 0.5652736
## 2248 2014-03-31  7.437206     0 0.7772527843 0.5789175
## 2249 2014-04-01  7.540090     0 0.7775902801 0.5869260
## 2250 2014-04-02  7.585281     0 0.7779277759 0.5904437
## 2251 2014-04-03  7.608871     0 0.7782652717 0.5922800
## 2252 2014-04-04  7.464510     0 0.7786027675 0.5810428
## 2253 2014-04-05  7.156956     0 0.7789402632 0.5571026
## 2254 2014-04-06  7.487734     0 0.7792777590 0.5828506
## 2255 2014-04-07  7.448916     0 0.7796152548 0.5798290
## 2256 2014-04-08  7.470224     0 0.7799527506 0.5814876
## 2257 2014-04-09  7.436028     0 0.7802902464 0.5788257
## 2258 2014-04-10  7.521859     0 0.7806277422 0.5855069
## 2259 2014-04-11  7.410347     0 0.7809652379 0.5768267
## 2260 2014-04-12  7.156177     0 0.7813027337 0.5570419
## 2261 2014-04-13  7.138073     0 0.7816402295 0.5556327
## 2262 2014-04-14  7.362645     0 0.7819777253 0.5731136
## 2263 2014-04-15  7.516977     0 0.7823152211 0.5851269
## 2264 2014-04-16  7.617268     0 0.7826527168 0.5929336
## 2265 2014-04-17  7.495542     0 0.7829902126 0.5834584
## 2266 2014-04-18  7.392032     0 0.7833277084 0.5754010
## 2267 2014-04-19  7.174724     0 0.7836652042 0.5584857
## 2268 2014-04-20  8.091321     0 0.7840027000 0.6298343
## 2269 2014-04-21  7.515345     0 0.7843401957 0.5849998
## 2270 2014-04-22  7.845808     0 0.7846776915 0.6107233
## 2271 2014-04-23  7.691200     0 0.7850151873 0.5986885
## 2272 2014-04-24  7.834788     0 0.7853526831 0.6098655
## 2273 2014-04-25  7.677400     0 0.7856901789 0.5976144
## 2274 2014-04-26  7.248504     0 0.7860276747 0.5642288
## 2275 2014-04-27  7.402452     0 0.7863651704 0.5762121
## 2276 2014-04-28  7.694393     0 0.7867026662 0.5989371
## 2277 2014-04-29  7.826044     0 0.7870401620 0.6091849
## 2278 2014-04-30  7.611842     0 0.7873776578 0.5925113
## 2279 2014-05-01  7.513709     0 0.7877151536 0.5848725
## 2280 2014-05-02  7.676010     0 0.7880526493 0.5975061
## 2281 2014-05-03  7.240650     0 0.7883901451 0.5636174
## 2282 2014-05-04  7.655391     0 0.7887276409 0.5959011
## 2283 2014-05-05  8.139441     0 0.7890651367 0.6335799
## 2284 2014-05-06  8.374938     0 0.7894026325 0.6519112
## 2285 2014-05-07  7.901748     0 0.7897401282 0.6150777
## 2286 2014-05-08  8.023880     0 0.7900776240 0.6245846
## 2287 2014-05-09  8.750208     0 0.7904151198 0.6811225
## 2288 2014-05-10  8.081784     0 0.7907526156 0.6290919
## 2289 2014-05-11  7.704361     0 0.7910901114 0.5997130
## 2290 2014-05-12  7.868254     0 0.7914276072 0.6124706
## 2291 2014-05-13  7.819636     0 0.7917651029 0.6086861
## 2292 2014-05-14  7.760893     0 0.7921025987 0.6041135
## 2293 2014-05-15  7.667158     0 0.7924400945 0.5968171
## 2294 2014-05-16  7.634337     0 0.7927775903 0.5942623
## 2295 2014-05-17  7.351158     0 0.7931150861 0.5722194
## 2296 2014-05-18  7.589336     0 0.7934525818 0.5907593
## 2297 2014-05-19  7.910224     0 0.7937900776 0.6157375
## 2298 2014-05-20  7.854769     0 0.7941275734 0.6114209
## 2299 2014-05-21  7.646831     0 0.7944650692 0.5952348
## 2300 2014-05-22  7.491645     0 0.7948025650 0.5831551
## 2301 2014-05-23  7.523481     0 0.7951400607 0.5856332
## 2302 2014-05-24  7.035269     0 0.7954775565 0.5476304
## 2303 2014-05-25  7.065613     0 0.7958150523 0.5499924
## 2304 2014-05-26  7.229839     0 0.7961525481 0.5627758
## 2305 2014-05-27  7.508239     0 0.7964900439 0.5844467
## 2306 2014-05-28  8.311644     0 0.7968275397 0.6469843
## 2307 2014-05-29  8.014005     0 0.7971650354 0.6238159
## 2308 2014-05-30  7.497207     0 0.7975025312 0.5835880
## 2309 2014-05-31  7.831617     0 0.7978400270 0.6096187
## 2310 2014-06-01  7.151485     0 0.7981775228 0.5566768
## 2311 2014-06-02  7.410952     0 0.7985150186 0.5768738
## 2312 2014-06-03  7.630947     0 0.7988525143 0.5939984
## 2313 2014-06-04  7.475906     0 0.7991900101 0.5819299
## 2314 2014-06-05  7.588324     0 0.7995275059 0.5906806
## 2315 2014-06-06  7.246368     0 0.7998650017 0.5640625
## 2316 2014-06-07  7.103322     0 0.8002024975 0.5529277
## 2317 2014-06-08  7.104144     0 0.8005399933 0.5529917
## 2318 2014-06-09  7.192934     0 0.8008774890 0.5599032
## 2319 2014-06-10  7.401231     0 0.8012149848 0.5761172
## 2320 2014-06-11  7.439559     0 0.8015524806 0.5791006
## 2321 2014-06-12  7.707962     0 0.8018899764 0.5999933
## 2322 2014-06-13  7.350516     0 0.8022274722 0.5721695
## 2323 2014-06-14  7.322510     0 0.8025649679 0.5699895
## 2324 2014-06-15  7.285507     0 0.8029024637 0.5671091
## 2325 2014-06-16  7.367709     0 0.8032399595 0.5735077
## 2326 2014-06-17  7.267525     0 0.8035774553 0.5657094
## 2327 2014-06-18  7.224753     0 0.8039149511 0.5623800
## 2328 2014-06-19  7.222566     0 0.8042524468 0.5622097
## 2329 2014-06-20  7.351800     0 0.8045899426 0.5722694
## 2330 2014-06-21  6.975414     0 0.8049274384 0.5429712
## 2331 2014-06-22  7.043160     0 0.8052649342 0.5482446
## 2332 2014-06-23  7.480992     0 0.8056024300 0.5823258
## 2333 2014-06-24  7.203406     0 0.8059399258 0.5607183
## 2334 2014-06-25  7.224025     0 0.8062774215 0.5623233
## 2335 2014-06-26  7.113142     0 0.8066149173 0.5536921
## 2336 2014-06-27  7.079184     0 0.8069524131 0.5510488
## 2337 2014-06-28  6.885510     0 0.8072899089 0.5359730
## 2338 2014-06-29  6.874198     0 0.8076274047 0.5350925
## 2339 2014-06-30  7.723120     0 0.8079649004 0.6011732
## 2340 2014-07-01  7.496652     0 0.8083023962 0.5835448
## 2341 2014-07-02  7.224025     0 0.8086398920 0.5623233
## 2342 2014-07-03  7.272398     0 0.8089773878 0.5660887
## 2343 2014-07-04  7.079184     0 0.8093148836 0.5510488
## 2344 2014-07-05  6.854355     0 0.8096523793 0.5335479
## 2345 2014-07-06  6.930495     0 0.8099898751 0.5394747
## 2346 2014-07-07  7.156177     0 0.8103273709 0.5570419
## 2347 2014-07-08  7.314553     0 0.8106648667 0.5693700
## 2348 2014-07-09  7.226936     0 0.8110023625 0.5625499
## 2349 2014-07-10  7.656810     0 0.8113398583 0.5960116
## 2350 2014-07-11  7.540090     0 0.8116773540 0.5869260
## 2351 2014-07-12  7.210080     0 0.8120148498 0.5612378
## 2352 2014-07-13  7.249926     0 0.8123523456 0.5643394
## 2353 2014-07-14  7.294377     0 0.8126898414 0.5677996
## 2354 2014-07-15  7.519150     0 0.8130273372 0.5852960
## 2355 2014-07-16  7.422374     0 0.8133648329 0.5777629
## 2356 2014-07-17  8.223627     0 0.8137023287 0.6401330
## 2357 2014-07-18  7.492760     0 0.8140398245 0.5832418
## 2358 2014-07-19  7.224753     0 0.8143773203 0.5623800
## 2359 2014-07-20  7.256297     0 0.8147148161 0.5648354
## 2360 2014-07-21  7.448916     0 0.8150523118 0.5798290
## 2361 2014-07-22  7.655391     0 0.8153898076 0.5959011
## 2362 2014-07-23  7.671361     0 0.8157273034 0.5971442
## 2363 2014-07-24  7.924072     0 0.8160647992 0.6168155
## 2364 2014-07-25  7.800982     0 0.8164022950 0.6072340
## 2365 2014-07-26  7.456455     0 0.8167397908 0.5804158
## 2366 2014-07-27  7.362645     0 0.8170772865 0.5731136
## 2367 2014-07-28  8.213111     0 0.8174147823 0.6393144
## 2368 2014-07-29  8.236421     0 0.8177522781 0.6411289
## 2369 2014-07-30  7.921536     0 0.8180897739 0.6166180
## 2370 2014-07-31  7.745003     0 0.8184272697 0.6028766
## 2371 2014-08-01  7.578145     0 0.8187647654 0.5898883
## 2372 2014-08-02  7.566828     0 0.8191022612 0.5890074
## 2373 2014-08-03  7.658228     0 0.8194397570 0.5961219
## 2374 2014-08-04  8.270781     0 0.8197772528 0.6438035
## 2375 2014-08-05  7.803027     0 0.8201147486 0.6073932
## 2376 2014-08-06  7.622664     0 0.8204522443 0.5933536
## 2377 2014-08-07  7.700295     0 0.8207897401 0.5993965
## 2378 2014-08-08  8.058644     0 0.8211272359 0.6272906
## 2379 2014-08-09  7.641084     0 0.8214647317 0.5947875
## 2380 2014-08-10  7.836370     0 0.8218022275 0.6099886
## 2381 2014-08-11  8.373554     0 0.8221397233 0.6518034
## 2382 2014-08-12  8.609408     0 0.8224772190 0.6701625
## 2383 2014-08-13  8.177235     0 0.8228147148 0.6365218
## 2384 2014-08-14  8.036897     0 0.8231522106 0.6255978
## 2385 2014-08-15  7.953318     0 0.8234897064 0.6190920
## 2386 2014-08-16  7.784889     0 0.8238272022 0.6059814
## 2387 2014-08-17  8.073715     0 0.8241646979 0.6284637
## 2388 2014-08-18  8.280458     0 0.8245021937 0.6445568
## 2389 2014-08-19  8.199189     0 0.8248396895 0.6382308
## 2390 2014-08-20  8.000349     0 0.8251771853 0.6227529
## 2391 2014-08-21  7.887209     0 0.8255146811 0.6139460
## 2392 2014-08-22  7.837160     0 0.8258521768 0.6100501
## 2393 2014-08-23  7.979681     0 0.8261896726 0.6211441
## 2394 2014-08-24  8.518392     0 0.8265271684 0.6630778
## 2395 2014-08-25  8.356320     0 0.8268646642 0.6504619
## 2396 2014-08-26  7.932362     0 0.8272021600 0.6174608
## 2397 2014-08-27  7.836765     0 0.8275396558 0.6100194
## 2398 2014-08-29  8.537192     0 0.8282146473 0.6645411
## 2399 2014-08-30  8.026497     0 0.8285521431 0.6247883
## 2400 2014-08-31  7.972811     0 0.8288896389 0.6206093
## 2401 2014-09-01  8.374477     0 0.8292271347 0.6518753
## 2402 2014-09-02  8.253228     0 0.8295646304 0.6424372
## 2403 2014-09-03  8.445912     0 0.8299021262 0.6574359
## 2404 2014-09-04  8.492696     0 0.8302396220 0.6610775
## 2405 2014-09-05  8.839132     0 0.8305771178 0.6880444
## 2406 2014-09-06  8.075894     0 0.8309146136 0.6286334
## 2407 2014-09-07  8.750208     0 0.8312521093 0.6811225
## 2408 2014-09-08 10.702413     0 0.8315896051 0.8330835
## 2409 2014-09-09 10.059978     0 0.8319271009 0.7830759
## 2410 2014-09-10  8.793157     0 0.8322645967 0.6844656
## 2411 2014-09-11  8.714403     0 0.8326020925 0.6783354
## 2412 2014-09-12  9.056256     0 0.8329395883 0.7049455
## 2413 2014-09-13  8.621553     0 0.8332770840 0.6711079
## 2414 2014-09-14  9.961426     0 0.8336145798 0.7754046
## 2415 2014-09-15  9.708567     0 0.8339520756 0.7557218
## 2416 2014-09-16  9.196444     0 0.8342895714 0.7158578
## 2417 2014-09-17  8.614320     0 0.8346270672 0.6705448
## 2418 2014-09-18  8.889033     0 0.8349645629 0.6919287
## 2419 2014-09-19  9.016270     0 0.8353020587 0.7018329
## 2420 2014-09-20  8.199189     0 0.8356395545 0.6382308
## 2421 2014-09-21  9.162200     0 0.8359770503 0.7131922
## 2422 2014-09-22  9.607504     0 0.8363145461 0.7478550
## 2423 2014-09-23  8.442901     0 0.8366520418 0.6572014
## 2424 2014-09-24  8.157370     0 0.8369895376 0.6349756
## 2425 2014-09-25  8.184514     0 0.8373270334 0.6370884
## 2426 2014-09-26  8.838987     0 0.8376645292 0.6880331
## 2427 2014-09-27  8.212840     0 0.8380020250 0.6392933
## 2428 2014-09-28  8.336151     0 0.8383395208 0.6488920
## 2429 2014-09-29  8.590444     0 0.8386770165 0.6686863
## 2430 2014-09-30  8.701346     0 0.8390145123 0.6773191
## 2431 2014-10-01  8.266421     0 0.8393520081 0.6434642
## 2432 2014-10-02  8.274612     0 0.8396895039 0.6441017
## 2433 2014-10-03  8.366370     0 0.8400269997 0.6512443
## 2434 2014-10-04  8.035279     0 0.8403644954 0.6254719
## 2435 2014-10-05  9.231515     0 0.8407019912 0.7185877
## 2436 2014-10-06  9.964677     0 0.8410394870 0.7756576
## 2437 2014-10-07  8.845489     0 0.8413769828 0.6885392
## 2438 2014-10-08  8.673000     0 0.8417144786 0.6751125
## 2439 2014-10-09  8.400659     0 0.8420519744 0.6539134
## 2440 2014-10-10  8.580356     0 0.8423894701 0.6679011
## 2441 2014-10-11  8.020599     0 0.8427269659 0.6243292
## 2442 2014-10-12  9.107532     0 0.8430644617 0.7089368
## 2443 2014-10-13  9.438352     0 0.8434019575 0.7346881
## 2444 2014-10-14  8.501267     0 0.8437394533 0.6617447
## 2445 2014-10-15  8.313362     0 0.8440769490 0.6471181
## 2446 2014-10-16  8.325548     0 0.8444144448 0.6480667
## 2447 2014-10-17  8.476371     0 0.8447519406 0.6598068
## 2448 2014-10-18  8.201112     0 0.8450894364 0.6383804
## 2449 2014-10-19  8.700514     0 0.8454269322 0.6772543
## 2450 2014-10-20 11.274465     0 0.8457644279 0.8776125
## 2451 2014-10-21  9.607572     0 0.8461019237 0.7478603
## 2452 2014-10-22  8.878637     0 0.8464394195 0.6911195
## 2453 2014-10-23  8.765927     0 0.8467769153 0.6823460
## 2454 2014-10-24  9.856396     0 0.8471144111 0.7672289
## 2455 2014-10-25  8.434246     0 0.8474519069 0.6565278
## 2456 2014-10-26  8.803424     0 0.8477894026 0.6852649
## 2457 2014-10-27  9.381769     0 0.8481268984 0.7302837
## 2458 2014-10-28  8.760296     0 0.8484643942 0.6819077
## 2459 2014-10-29  8.555067     0 0.8488018900 0.6659325
## 2460 2014-10-30  8.468843     0 0.8491393858 0.6592208
## 2461 2014-10-31  8.531293     0 0.8494768815 0.6640820
## 2462 2014-11-01  8.045588     0 0.8498143773 0.6262744
## 2463 2014-11-02  9.090205     0 0.8501518731 0.7075880
## 2464 2014-11-03  9.454149     0 0.8504893689 0.7359177
## 2465 2014-11-04  9.059052     0 0.8508268647 0.7051631
## 2466 2014-11-05  8.259458     0 0.8511643604 0.6429222
## 2467 2014-11-06  8.189522     0 0.8515018562 0.6374783
## 2468 2014-11-07  8.195334     0 0.8518393520 0.6379307
## 2469 2014-11-08  7.693937     0 0.8521768478 0.5989016
## 2470 2014-11-09  8.290042     0 0.8525143436 0.6453028
## 2471 2014-11-10  9.032887     0 0.8528518394 0.7031264
## 2472 2014-11-11  8.382747     0 0.8531893351 0.6525191
## 2473 2014-11-12  8.217978     0 0.8535268309 0.6396933
## 2474 2014-11-13  8.124743     0 0.8538643267 0.6324358
## 2475 2014-11-14  8.046870     0 0.8542018225 0.6263741
## 2476 2014-11-15  7.573017     0 0.8545393183 0.5894891
## 2477 2014-11-16  8.398635     0 0.8548768140 0.6537558
## 2478 2014-11-17  8.711443     0 0.8552143098 0.6781050
## 2479 2014-11-18  8.251142     0 0.8555518056 0.6422748
## 2480 2014-11-19  7.992269     0 0.8558893014 0.6221239
## 2481 2014-11-20  8.005367     0 0.8562267972 0.6231435
## 2482 2014-11-21  8.080856     0 0.8565642929 0.6290197
## 2483 2014-11-22  7.528332     0 0.8569017887 0.5860107
## 2484 2014-11-23  8.202482     0 0.8572392845 0.6384871
## 2485 2014-11-24  9.074406     0 0.8575767803 0.7063583
## 2486 2014-11-25  8.214736     0 0.8579142761 0.6394409
## 2487 2014-11-26  7.967973     0 0.8582517719 0.6202328
## 2488 2014-11-27  8.128290     0 0.8585892676 0.6327119
## 2489 2014-11-28  7.953670     0 0.8589267634 0.6191194
## 2490 2014-11-29  7.666690     0 0.8592642592 0.5967807
## 2491 2014-11-30  7.965546     0 0.8596017550 0.6200438
## 2492 2014-12-01  9.142169     0 0.8599392508 0.7116330
## 2493 2014-12-02  8.287025     0 0.8602767465 0.6450680
## 2494 2014-12-03  8.283241     0 0.8606142423 0.6447735
## 2495 2014-12-04  8.301025     0 0.8609517381 0.6461578
## 2496 2014-12-05  8.387995     0 0.8612892339 0.6529276
## 2497 2014-12-06  7.709757     0 0.8616267297 0.6001330
## 2498 2014-12-07  8.111028     0 0.8619642254 0.6313682
## 2499 2014-12-08  8.745603     0 0.8623017212 0.6807640
## 2500 2014-12-09  8.391403     0 0.8626392170 0.6531928
## 2501 2014-12-10  8.119696     0 0.8629767128 0.6320430
## 2502 2014-12-11  8.235891     0 0.8633142086 0.6410876
## 2503 2014-12-12  8.106816     0 0.8636517044 0.6310404
## 2504 2014-12-13  7.711997     0 0.8639892001 0.6003073
## 2505 2014-12-14  8.425297     0 0.8643266959 0.6558312
## 2506 2014-12-15  8.849371     0 0.8646641917 0.6888414
## 2507 2014-12-16  8.493105     0 0.8650016875 0.6611094
## 2508 2014-12-17  8.174139     0 0.8653391833 0.6362809
## 2509 2014-12-18  8.102284     0 0.8656766790 0.6306876
## 2510 2014-12-19  7.833600     0 0.8660141748 0.6097731
## 2511 2014-12-20  7.522941     0 0.8663516706 0.5855911
## 2512 2014-12-21  7.910224     0 0.8666891664 0.6157375
## 2513 2014-12-22  8.365440     0 0.8670266622 0.6511718
## 2514 2014-12-23  9.060563     0 0.8673641579 0.7052808
## 2515 2014-12-24  8.179200     0 0.8677016537 0.6366748
## 2516 2014-12-25  8.016318     0 0.8680391495 0.6239959
## 2517 2014-12-26  8.103192     0 0.8683766453 0.6307583
## 2518 2014-12-27  7.814400     0 0.8687141411 0.6082785
## 2519 2014-12-28  8.387995     0 0.8690516369 0.6529276
## 2520 2014-12-29  8.748146     0 0.8693891326 0.6809620
## 2521 2014-12-30  8.312871     0 0.8697266284 0.6470799
## 2522 2014-12-31  7.923348     0 0.8700641242 0.6167591
## 2523 2015-01-01  7.846590     0 0.8704016200 0.6107842
## 2524 2015-01-02  8.302018     0 0.8707391158 0.6462350
## 2525 2015-01-03  8.436200     0 0.8710766115 0.6566799
## 2526 2015-01-04  8.934587     0 0.8714141073 0.6954747
## 2527 2015-01-05  8.888619     0 0.8717516031 0.6918965
## 2528 2015-01-06  8.664233     0 0.8720890989 0.6744301
## 2529 2015-01-07  8.500047     0 0.8724265947 0.6616498
## 2530 2015-01-08  8.418256     0 0.8727640904 0.6552831
## 2531 2015-01-09  8.472196     0 0.8731015862 0.6594818
## 2532 2015-01-10  8.307213     0 0.8734390820 0.6466394
## 2533 2015-01-11  9.886596     0 0.8737765778 0.7695797
## 2534 2015-01-12 10.694986     0 0.8741140736 0.8325054
## 2535 2015-01-13  9.760194     0 0.8744515694 0.7597405
## 2536 2015-01-14  9.110078     0 0.8747890651 0.7091350
## 2537 2015-01-15  8.799511     0 0.8751265609 0.6849602
## 2538 2015-01-16  8.783090     0 0.8754640567 0.6836820
## 2539 2015-01-17  8.429891     0 0.8758015525 0.6561888
## 2540 2015-01-18  8.878776     0 0.8761390483 0.6911303
## 2541 2015-01-19  9.759386     0 0.8764765440 0.7596776
## 2542 2015-01-20  8.952088     0 0.8768140398 0.6968369
## 2543 2015-01-21  8.661120     0 0.8771515356 0.6741878
## 2544 2015-01-22  8.584852     0 0.8774890314 0.6682510
## 2545 2015-01-23  8.396606     0 0.8778265272 0.6535979
## 2546 2015-01-24  7.923710     0 0.8781640229 0.6167873
## 2547 2015-01-25  8.085487     0 0.8785015187 0.6293801
## 2548 2015-01-26  8.358901     0 0.8788390145 0.6506628
## 2549 2015-01-27  8.303505     0 0.8791765103 0.6463508
## 2550 2015-01-28  8.277920     0 0.8795140061 0.6443593
## 2551 2015-01-29  8.363576     0 0.8798515019 0.6510267
## 2552 2015-01-30  8.598220     0 0.8801889976 0.6692916
## 2553 2015-01-31  8.081166     0 0.8805264934 0.6290437
## 2554 2015-02-01  9.034438     0 0.8808639892 0.7032472
## 2555 2015-02-02 10.283225     0 0.8812014850 0.8004536
## 2556 2015-02-03  9.273221     0 0.8815389808 0.7218342
## 2557 2015-02-04  8.714075     0 0.8818764765 0.6783098
## 2558 2015-02-06  8.233503     0 0.8825514681 0.6409018
## 2559 2015-02-07  7.884200     0 0.8828889639 0.6137118
## 2560 2015-02-08  7.812783     0 0.8832264597 0.6081526
## 2561 2015-02-09  7.931285     0 0.8835639555 0.6173769
## 2562 2015-02-10  8.414496     0 0.8839014512 0.6549904
## 2563 2015-02-11  8.156510     0 0.8842389470 0.6349086
## 2564 2015-02-12  7.857094     0 0.8845764428 0.6116018
## 2565 2015-02-13  7.909857     0 0.8849139386 0.6157089
## 2566 2015-02-14  7.809135     0 0.8852514344 0.6078687
## 2567 2015-02-15  7.507690     0 0.8855889301 0.5844040
## 2568 2015-02-16  8.203851     0 0.8859264259 0.6385937
## 2569 2015-02-17  7.821643     0 0.8862639217 0.6088423
## 2570 2015-02-18  7.803843     0 0.8866014175 0.6074568
## 2571 2015-02-19  7.760893     0 0.8869389133 0.6041135
## 2572 2015-02-20  7.703459     0 0.8872764090 0.5996428
## 2573 2015-02-21  8.061171     0 0.8876139048 0.6274874
## 2574 2015-02-22  7.350516     0 0.8879514006 0.5721695
## 2575 2015-02-23  7.483807     0 0.8882888964 0.5825449
## 2576 2015-02-24  7.540622     0 0.8886263922 0.5869674
## 2577 2015-02-25  7.696667     0 0.8889638880 0.5991141
## 2578 2015-02-26  7.503841     0 0.8893013837 0.5841044
## 2579 2015-02-27  7.398174     0 0.8896388795 0.5758792
## 2580 2015-02-28  7.042286     0 0.8899763753 0.5481766
## 2581 2015-03-01  7.052721     0 0.8903138711 0.5489889
## 2582 2015-03-02  7.362645     0 0.8906513669 0.5731136
## 2583 2015-03-03  7.623153     0 0.8909888626 0.5933917
## 2584 2015-03-04  7.795235     0 0.8913263584 0.6067867
## 2585 2015-03-05  8.426831     0 0.8916638542 0.6559506
## 2586 2015-03-06  7.916807     0 0.8920013500 0.6162500
## 2587 2015-03-07  7.236339     0 0.8923388458 0.5632818
## 2588 2015-03-08  7.206377     0 0.8926763415 0.5609496
## 2589 2015-03-09  7.556428     0 0.8930138373 0.5881978
## 2590 2015-03-10  7.582738     0 0.8933513331 0.5902458
## 2591 2015-03-11  7.682943     0 0.8936888289 0.5980458
## 2592 2015-03-12  7.606885     0 0.8940263247 0.5921254
## 2593 2015-03-13  7.703459     0 0.8943638205 0.5996428
## 2594 2015-03-14  7.151485     0 0.8947013162 0.5566768
## 2595 2015-03-15  7.040536     0 0.8950388120 0.5480404
## 2596 2015-03-16  7.338888     0 0.8953763078 0.5712643
## 2597 2015-03-17  7.484369     0 0.8957138036 0.5825886
## 2598 2015-03-18  7.351800     0 0.8960512994 0.5722694
## 2599 2015-03-19  7.423568     0 0.8963887951 0.5778559
## 2600 2015-03-20  7.291656     0 0.8967262909 0.5675878
## 2601 2015-03-21  6.816736     0 0.8970637867 0.5306196
## 2602 2015-03-22  6.910751     0 0.8974012825 0.5379378
## 2603 2015-03-23  7.321189     0 0.8977387783 0.5698866
## 2604 2015-03-24  7.991592     0 0.8980762740 0.6220713
## 2605 2015-03-25  7.712891     0 0.8984137698 0.6003770
## 2606 2015-03-26  7.282761     0 0.8987512656 0.5668954
## 2607 2015-03-27  7.305860     0 0.8990887614 0.5686934
## 2608 2015-03-28  6.905753     0 0.8994262572 0.5375488
## 2609 2015-03-29  7.873217     0 0.8997637530 0.6128569
## 2610 2015-03-30  7.085901     0 0.9001012487 0.5515717
## 2611 2015-03-31  7.271009     0 0.9004387445 0.5659805
## 2612 2015-04-01  7.213768     0 0.9007762403 0.5615249
## 2613 2015-04-02  7.166266     0 0.9011137361 0.5578273
## 2614 2015-04-03  7.213032     0 0.9014512319 0.5614676
## 2615 2015-04-04  6.829794     0 0.9017887276 0.5316360
## 2616 2015-04-05  6.801283     0 0.9021262234 0.5294168
## 2617 2015-04-06  7.157735     0 0.9024637192 0.5571633
## 2618 2015-04-07  7.045777     0 0.9028012150 0.5484483
## 2619 2015-04-08  7.091742     0 0.9031387108 0.5520263
## 2620 2015-04-09  7.234177     0 0.9034762065 0.5631135
## 2621 2015-04-10  7.280008     0 0.9038137023 0.5666811
## 2622 2015-04-11  6.697034     0 0.9041511981 0.5213020
## 2623 2015-04-12  7.028201     0 0.9044886939 0.5470802
## 2624 2015-04-13  7.174724     0 0.9048261897 0.5584857
## 2625 2015-04-14  7.223296     0 0.9051636855 0.5622665
## 2626 2015-04-15  7.336937     0 0.9055011812 0.5711124
## 2627 2015-04-16  7.362011     0 0.9058386770 0.5730642
## 2628 2015-04-17  7.263330     0 0.9061761728 0.5653828
## 2629 2015-04-18  6.811244     0 0.9065136686 0.5301922
## 2630 2015-04-19  7.318540     0 0.9068511644 0.5696804
## 2631 2015-04-20  7.640123     0 0.9071886601 0.5947127
## 2632 2015-04-21  7.405496     0 0.9075261559 0.5764491
## 2633 2015-04-22  7.572503     0 0.9078636517 0.5894491
## 2634 2015-04-23  7.485492     0 0.9082011475 0.5826760
## 2635 2015-04-24  7.333023     0 0.9085386433 0.5708078
## 2636 2015-04-25  7.205635     0 0.9088761390 0.5608918
## 2637 2015-04-26  7.090910     0 0.9092136348 0.5519615
## 2638 2015-04-27  7.326466     0 0.9095511306 0.5702973
## 2639 2015-04-28  7.355641     0 0.9098886264 0.5725684
## 2640 2015-04-29  7.463363     0 0.9102261222 0.5809535
## 2641 2015-04-30  7.567346     0 0.9105636180 0.5890476
## 2642 2015-05-01  7.749753     0 0.9109011137 0.6032464
## 2643 2015-05-02  7.144407     0 0.9112386095 0.5561258
## 2644 2015-05-03  6.899723     0 0.9115761053 0.5370794
## 2645 2015-05-04  7.331060     0 0.9119136011 0.5706550
## 2646 2015-05-05  7.221105     0 0.9122510969 0.5620960
## 2647 2015-05-06  7.737616     0 0.9125885926 0.6023016
## 2648 2015-05-07  7.363280     0 0.9129260884 0.5731630
## 2649 2015-05-08  7.290975     0 0.9132635842 0.5675347
## 2650 2015-05-09  7.038784     0 0.9136010800 0.5479040
## 2651 2015-05-10  6.932448     0 0.9139385758 0.5396267
## 2652 2015-05-11  7.305860     0 0.9142760715 0.5686934
## 2653 2015-05-12  7.686162     0 0.9146135673 0.5982964
## 2654 2015-05-13  7.479300     0 0.9149510631 0.5821941
## 2655 2015-05-14  7.269617     0 0.9152885589 0.5658722
## 2656 2015-05-15  7.309212     0 0.9156260547 0.5689543
## 2657 2015-05-16  6.740519     0 0.9159635505 0.5246869
## 2658 2015-05-17  6.805723     0 0.9163010462 0.5297623
## 2659 2015-05-18  7.142827     0 0.9166385420 0.5560028
## 2660 2015-05-19  7.186901     0 0.9169760378 0.5594335
## 2661 2015-05-20  7.140453     0 0.9173135336 0.5558180
## 2662 2015-05-21  8.761550     0 0.9176510294 0.6820054
## 2663 2015-05-22  8.279443     0 0.9179885251 0.6444778
## 2664 2015-05-23  7.437206     0 0.9183260209 0.5789175
## 2665 2015-05-24  7.160069     0 0.9186635167 0.5573449
## 2666 2015-05-25  7.041412     0 0.9190010125 0.5481085
## 2667 2015-05-26  7.174724     0 0.9193385083 0.5584857
## 2668 2015-05-27  7.412764     0 0.9196760040 0.5770149
## 2669 2015-05-28  7.256297     0 0.9200134998 0.5648354
## 2670 2015-05-29  7.284821     0 0.9203509956 0.5670557
## 2671 2015-05-30  6.726233     0 0.9206884914 0.5235748
## 2672 2015-05-31  6.932448     0 0.9210259872 0.5396267
## 2673 2015-06-01  7.074117     0 0.9213634830 0.5506543
## 2674 2015-06-02  7.202661     0 0.9217009787 0.5606603
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## 2687 2015-06-15  6.890609     0 0.9260884239 0.5363700
## 2688 2015-06-16  6.926577     0 0.9264259197 0.5391697
## 2689 2015-06-17  7.004882     0 0.9267634155 0.5452650
## 2690 2015-06-18  6.873164     0 0.9271009112 0.5350120
## 2691 2015-06-19  6.890609     0 0.9274384070 0.5363700
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## 2699 2015-06-27  7.454720     0 0.9301383733 0.5802808
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## 2703 2015-07-01  6.791221     0 0.9314883564 0.5286336
## 2704 2015-07-02  6.820016     0 0.9318258522 0.5308750
## 2705 2015-07-03  6.618739     0 0.9321633480 0.5152074
## 2706 2015-07-04  6.473891     0 0.9325008437 0.5039323
## 2707 2015-07-05  6.499787     0 0.9328383395 0.5059481
## 2708 2015-07-06  6.859615     0 0.9331758353 0.5339573
## 2709 2015-07-07  6.881411     0 0.9335133311 0.5356540
## 2710 2015-07-08  6.997596     0 0.9338508269 0.5446979
## 2711 2015-07-09  7.152269     0 0.9341883226 0.5567377
## 2712 2015-07-10  7.196687     0 0.9345258184 0.5601952
## 2713 2015-07-11  6.708084     0 0.9348633142 0.5221621
## 2714 2015-07-12  6.982863     0 0.9352008100 0.5435510
## 2715 2015-07-13  7.128496     0 0.9355383058 0.5548872
## 2716 2015-07-14  7.089243     0 0.9358758016 0.5518318
## 2717 2015-07-15  7.198931     0 0.9362132973 0.5603700
## 2718 2015-07-16  8.090709     0 0.9365507931 0.6297866
## 2719 2015-07-17  7.393878     0 0.9368882889 0.5755448
## 2720 2015-07-18  7.050123     0 0.9372257847 0.5487866
## 2721 2015-07-19  7.195187     0 0.9375632805 0.5600785
## 2722 2015-07-20  7.441320     0 0.9379007762 0.5792377
## 2723 2015-07-21  7.417580     0 0.9382382720 0.5773898
## 2724 2015-07-22  7.474205     0 0.9385757678 0.5817975
## 2725 2015-07-23  7.392648     0 0.9389132636 0.5754490
## 2726 2015-07-24  7.185387     0 0.9392507594 0.5593157
## 2727 2015-07-25  6.864848     0 0.9395882551 0.5343647
## 2728 2015-07-26  6.834109     0 0.9399257509 0.5319719
## 2729 2015-07-27  7.287561     0 0.9402632467 0.5672690
## 2730 2015-07-28  7.224025     0 0.9406007425 0.5623233
## 2731 2015-07-29  7.244228     0 0.9409382383 0.5638959
## 2732 2015-07-30  7.306531     0 0.9412757341 0.5687456
## 2733 2015-07-31  7.317212     0 0.9416132298 0.5695771
## 2734 2015-08-01  6.958448     0 0.9419507256 0.5416506
## 2735 2015-08-02  6.825460     0 0.9422882214 0.5312987
## 2736 2015-08-03  7.181592     0 0.9426257172 0.5590203
## 2737 2015-08-04  7.276556     0 0.9429632130 0.5664124
## 2738 2015-08-05  7.271009     0 0.9433007087 0.5659805
## 2739 2015-08-06  7.824446     0 0.9436382045 0.6090605
## 2740 2015-08-07  7.419381     0 0.9439757003 0.5775299
## 2741 2015-08-08  7.007601     0 0.9443131961 0.5454767
## 2742 2015-08-09  7.073270     0 0.9446506919 0.5505884
## 2743 2015-08-10  7.265430     0 0.9449881876 0.5655463
## 2744 2015-08-11  7.602401     0 0.9453256834 0.5917764
## 2745 2015-08-12  7.557473     0 0.9456631792 0.5882791
## 2746 2015-08-13  7.582229     0 0.9460006750 0.5902062
## 2747 2015-08-14  7.289611     0 0.9463381708 0.5674285
## 2748 2015-08-15  7.330405     0 0.9466756666 0.5706040
## 2749 2015-08-16  7.221105     0 0.9470131623 0.5620960
## 2750 2015-08-17  7.431300     0 0.9473506581 0.5784577
## 2751 2015-08-18  7.750184     0 0.9476881539 0.6032799
## 2752 2015-08-19  7.629976     0 0.9480256497 0.5939228
## 2753 2015-08-20  7.730614     0 0.9483631455 0.6017565
## 2754 2015-08-21  7.824046     0 0.9487006412 0.6090294
## 2755 2015-08-22  7.226209     0 0.9490381370 0.5624933
## 2756 2015-08-23  7.477038     0 0.9493756328 0.5820180
## 2757 2015-08-24  7.863267     0 0.9497131286 0.6120823
## 2758 2015-08-25  7.949091     0 0.9500506244 0.6187630
## 2759 2015-08-26  7.769801     0 0.9503881201 0.6048069
## 2760 2015-08-27  7.579679     0 0.9507256159 0.5900076
## 2761 2015-08-28  7.549083     0 0.9510631117 0.5876260
## 2762 2015-08-29  7.291656     0 0.9514006075 0.5675878
## 2763 2015-08-30  7.789869     0 0.9517381033 0.6063690
## 2764 2015-08-31  7.656810     0 0.9520755991 0.5960116
## 2765 2015-09-01  7.534763     0 0.9524130948 0.5865113
## 2766 2015-09-02  7.665285     0 0.9527505906 0.5966713
## 2767 2015-09-03  8.066521     0 0.9530880864 0.6279038
## 2768 2015-09-04  8.149313     0 0.9534255822 0.6343484
## 2769 2015-09-05  7.725330     0 0.9537630780 0.6013452
## 2770 2015-09-06  7.717351     0 0.9541005737 0.6007242
## 2771 2015-09-07  7.677864     0 0.9544380695 0.5976504
## 2772 2015-09-08  7.895063     0 0.9547755653 0.6145574
## 2773 2015-09-09  8.079928     0 0.9551130611 0.6289474
## 2774 2015-09-10  8.193400     0 0.9554505569 0.6377802
## 2775 2015-09-11  8.665096     0 0.9557880526 0.6744973
## 2776 2015-09-12  7.844633     0 0.9561255484 0.6106318
## 2777 2015-09-13  8.779096     0 0.9564630442 0.6833711
## 2778 2015-09-14  9.058703     0 0.9568005400 0.7051360
## 2779 2015-09-15  8.421783     0 0.9571380358 0.6555576
## 2780 2015-09-16  8.072155     0 0.9574755316 0.6283424
## 2781 2015-09-17  8.404696     0 0.9578130273 0.6542276
## 2782 2015-09-18  9.721846     0 0.9581505231 0.7567555
## 2783 2015-09-19  8.114025     0 0.9584880189 0.6316016
## 2784 2015-09-20  8.430763     0 0.9588255147 0.6562567
## 2785 2015-09-21  8.548886     0 0.9591630105 0.6654514
## 2786 2015-09-22  8.322880     0 0.9595005062 0.6478590
## 2787 2015-09-23  8.008366     0 0.9598380020 0.6233769
## 2788 2015-09-24  8.119994     0 0.9601754978 0.6320661
## 2789 2015-09-25  8.582606     0 0.9605129936 0.6680762
## 2790 2015-09-26  7.609862     0 0.9608504894 0.5923571
## 2791 2015-09-27  8.412055     0 0.9611879852 0.6548004
## 2792 2015-09-28  9.541010     0 0.9615254809 0.7426791
## 2793 2015-09-29  8.559486     0 0.9618629767 0.6662765
## 2794 2015-09-30  8.144389     0 0.9622004725 0.6339651
## 2795 2015-10-01  7.991254     0 0.9625379683 0.6220449
## 2796 2015-10-02  7.885329     0 0.9628754641 0.6137997
## 2797 2015-10-03  7.459915     0 0.9632129598 0.5806851
## 2798 2015-10-04  8.375169     0 0.9635504556 0.6519291
## 2799 2015-10-05  8.726806     0 0.9638879514 0.6793008
## 2800 2015-10-06  8.075272     0 0.9642254472 0.6285849
## 2801 2015-10-07  7.800573     0 0.9645629430 0.6072022
## 2802 2015-10-08  7.749753     0 0.9649004387 0.6032464
## 2803 2015-10-09  7.919720     0 0.9652379345 0.6164767
## 2804 2015-10-10  7.356280     0 0.9655754303 0.5726181
## 2805 2015-10-11  8.173011     0 0.9659129261 0.6361931
## 2806 2015-10-13  8.261010     0 0.9665879177 0.6430429
## 2807 2015-10-14  7.846590     0 0.9669254134 0.6107842
## 2808 2015-10-15  7.740230     0 0.9672629092 0.6025050
## 2809 2015-10-16  7.830426     0 0.9676004050 0.6095260
## 2810 2015-10-17  7.361375     0 0.9679379008 0.5730147
## 2811 2015-10-18  8.298788     0 0.9682753966 0.6459836
## 2812 2015-10-19  8.741776     0 0.9686128923 0.6804661
## 2813 2015-10-20  8.397057     0 0.9689503881 0.6536330
## 2814 2015-10-21  7.778211     0 0.9692878839 0.6054616
## 2815 2015-10-22  7.933797     0 0.9696253797 0.6175724
## 2816 2015-10-23  7.860185     0 0.9699628755 0.6118424
## 2817 2015-10-24  7.942362     0 0.9703003712 0.6182392
## 2818 2015-10-25  8.198089     0 0.9706378670 0.6381452
## 2819 2015-10-26  8.429018     0 0.9709753628 0.6561208
## 2820 2015-10-27  8.056744     0 0.9713128586 0.6271427
## 2821 2015-10-28  7.811163     0 0.9716503544 0.6080266
## 2822 2015-10-29  7.786552     0 0.9719878502 0.6061108
## 2823 2015-10-30  8.108623     0 0.9723253459 0.6311811
## 2824 2015-10-31  7.621195     0 0.9726628417 0.5932393
## 2825 2015-11-01  8.092851     0 0.9730003375 0.6299533
## 2826 2015-11-02  9.392245     0 0.9733378333 0.7310991
## 2827 2015-11-03  8.453188     0 0.9736753291 0.6580022
## 2828 2015-11-04  8.094378     0 0.9740128248 0.6300722
## 2829 2015-11-05  7.991254     0 0.9743503206 0.6220449
## 2830 2015-11-06  8.328209     0 0.9746878164 0.6482738
## 2831 2015-11-07  7.641084     0 0.9750253122 0.5947875
## 2832 2015-11-08  8.486322     0 0.9753628080 0.6605814
## 2833 2015-11-09  9.163563     0 0.9757003037 0.7132983
## 2834 2015-11-10  8.188411     0 0.9760377995 0.6373918
## 2835 2015-11-11  7.826443     0 0.9763752953 0.6092160
## 2836 2015-11-12  7.960673     0 0.9767127911 0.6196645
## 2837 2015-11-13  7.672292     0 0.9770502869 0.5972168
## 2838 2015-11-14  7.163172     0 0.9773877827 0.5575865
## 2839 2015-11-15  7.902118     0 0.9777252784 0.6151065
## 2840 2015-11-16  9.634300     0 0.9780627742 0.7499408
## 2841 2015-11-17  8.848222     0 0.9784002700 0.6887520
## 2842 2015-11-18  8.383205     0 0.9787377658 0.6525547
## 2843 2015-11-19  8.164510     0 0.9790752616 0.6355313
## 2844 2015-11-20  8.052933     0 0.9794127573 0.6268461
## 2845 2015-11-21  7.561122     0 0.9797502531 0.5885631
## 2846 2015-11-22  8.256348     0 0.9800877489 0.6426800
## 2847 2015-11-23  8.672828     0 0.9804252447 0.6750992
## 2848 2015-11-24  8.306472     0 0.9807627405 0.6465818
## 2849 2015-11-25  8.058960     0 0.9811002362 0.6273152
## 2850 2015-11-26  7.872455     0 0.9814377320 0.6127976
## 2851 2015-11-27  8.195334     0 0.9817752278 0.6379307
## 2852 2015-11-28  7.591357     0 0.9821127236 0.5909167
## 2853 2015-11-29  8.021585     0 0.9824502194 0.6244059
## 2854 2015-11-30 12.149672     0 0.9827877152 0.9457392
## 2855 2015-12-01 11.523044     0 0.9831252109 0.8969620
## 2856 2015-12-02  8.711773     0 0.9834627067 0.6781306
## 2857 2015-12-03  8.056110     0 0.9838002025 0.6270934
## 2858 2015-12-04  8.081475     0 0.9841376983 0.6290678
## 2859 2015-12-05  7.458763     0 0.9844751941 0.5805954
## 2860 2015-12-06  8.014005     0 0.9848126898 0.6238159
## 2861 2015-12-07  8.496786     0 0.9851501856 0.6613960
## 2862 2015-12-08  7.981050     0 0.9854876814 0.6212506
## 2863 2015-12-09  7.777793     0 0.9858251772 0.6054290
## 2864 2015-12-10  8.260234     0 0.9861626730 0.6429826
## 2865 2015-12-11  7.866339     0 0.9865001687 0.6123215
## 2866 2015-12-12  7.310550     0 0.9868376645 0.5690585
## 2867 2015-12-13  7.718241     0 0.9871751603 0.6007934
## 2868 2015-12-14  8.319474     0 0.9875126561 0.6475938
## 2869 2015-12-15  8.236685     0 0.9878501519 0.6411495
## 2870 2015-12-16  7.807510     0 0.9881876477 0.6077422
## 2871 2015-12-17  7.591862     0 0.9885251434 0.5909560
## 2872 2015-12-18  7.528869     0 0.9888626392 0.5860526
## 2873 2015-12-19  7.171657     0 0.9892001350 0.5582469
## 2874 2015-12-20  7.891331     0 0.9895376308 0.6142669
## 2875 2015-12-21  8.360071     0 0.9898751266 0.6507540
## 2876 2015-12-22  8.110427     0 0.9902126223 0.6313215
## 2877 2015-12-23  7.775276     0 0.9905501181 0.6052331
## 2878 2015-12-24  7.347300     0 0.9908876139 0.5719191
## 2879 2015-12-25  7.301822     0 0.9912251097 0.5683791
## 2880 2015-12-26  7.120444     0 0.9915626055 0.5542605
## 2881 2015-12-27  8.878776     0 0.9919001012 0.6911303
## 2882 2015-12-28  9.250618     0 0.9922375970 0.7200748
## 2883 2015-12-29  9.247925     0 0.9925750928 0.7198651
## 2884 2015-12-30  8.391403     0 0.9929125886 0.6531928
## 2885 2015-12-31  8.004700     0 0.9932500844 0.6230916
## 2886 2016-01-01  7.589336     0 0.9935875802 0.5907593
## 2887 2016-01-02  7.825245     0 0.9939250759 0.6091227
## 2888 2016-01-03  8.249314     0 0.9942625717 0.6421325
## 2889 2016-01-04  9.295141     0 0.9946000675 0.7235404
## 2890 2016-01-05  8.568266     0 0.9949375633 0.6669600
## 2891 2016-01-06  8.352554     0 0.9952750591 0.6501688
## 2892 2016-01-07  8.295798     0 0.9956125548 0.6457509
## 2893 2016-01-08  8.290293     0 0.9959500506 0.6453223
## 2894 2016-01-09  7.785721     0 0.9962875464 0.6060461
## 2895 2016-01-10  8.281724     0 0.9966250422 0.6446553
## 2896 2016-01-11  8.470730     0 0.9969625380 0.6593677
## 2897 2016-01-12  8.135054     0 0.9973000337 0.6332384
## 2898 2016-01-13  8.067149     0 0.9976375295 0.6279527
## 2899 2016-01-14  8.023552     0 0.9979750253 0.6245591
## 2900 2016-01-15  8.021913     0 0.9983125211 0.6244314
## 2901 2016-01-16  7.817223     0 0.9986500169 0.6084982
## 2902 2016-01-17  9.273878     0 0.9989875127 0.7218854
## 2903 2016-01-18 10.333775     0 0.9993250084 0.8043885
## 2904 2016-01-19  9.125871     0 0.9996625042 0.7103644
## 2905 2016-01-20  8.891374     0 1.0000000000 0.6921109
## 
## $history.dates
##    [1] "2007-12-10 GMT" "2007-12-11 GMT" "2007-12-12 GMT" "2007-12-13 GMT"
##    [5] "2007-12-14 GMT" "2007-12-15 GMT" "2007-12-16 GMT" "2007-12-17 GMT"
##    [9] "2007-12-18 GMT" "2007-12-19 GMT" "2007-12-20 GMT" "2007-12-21 GMT"
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##   [17] "2007-12-26 GMT" "2007-12-27 GMT" "2007-12-28 GMT" "2007-12-29 GMT"
##   [21] "2007-12-30 GMT" "2007-12-31 GMT" "2008-01-01 GMT" "2008-01-02 GMT"
##   [25] "2008-01-03 GMT" "2008-01-04 GMT" "2008-01-05 GMT" "2008-01-06 GMT"
##   [29] "2008-01-07 GMT" "2008-01-08 GMT" "2008-01-09 GMT" "2008-01-10 GMT"
##   [33] "2008-01-11 GMT" "2008-01-12 GMT" "2008-01-13 GMT" "2008-01-14 GMT"
##   [37] "2008-01-15 GMT" "2008-01-16 GMT" "2008-01-17 GMT" "2008-01-18 GMT"
##   [41] "2008-01-19 GMT" "2008-01-20 GMT" "2008-01-21 GMT" "2008-01-22 GMT"
##   [45] "2008-01-23 GMT" "2008-01-24 GMT" "2008-01-25 GMT" "2008-01-26 GMT"
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##   [57] "2008-02-05 GMT" "2008-02-06 GMT" "2008-02-07 GMT" "2008-02-08 GMT"
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##   [85] "2008-03-08 GMT" "2008-03-09 GMT" "2008-03-10 GMT" "2008-03-11 GMT"
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##   [93] "2008-03-16 GMT" "2008-03-17 GMT" "2008-03-18 GMT" "2008-03-19 GMT"
##   [97] "2008-03-20 GMT" "2008-03-21 GMT" "2008-03-22 GMT" "2008-03-23 GMT"
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##  [121] "2008-04-13 GMT" "2008-04-14 GMT" "2008-04-15 GMT" "2008-04-16 GMT"
##  [125] "2008-04-17 GMT" "2008-04-18 GMT" "2008-04-19 GMT" "2008-04-20 GMT"
##  [129] "2008-04-21 GMT" "2008-04-22 GMT" "2008-04-23 GMT" "2008-04-24 GMT"
##  [133] "2008-04-25 GMT" "2008-04-26 GMT" "2008-04-27 GMT" "2008-04-28 GMT"
##  [137] "2008-04-29 GMT" "2008-04-30 GMT" "2008-05-01 GMT" "2008-05-02 GMT"
##  [141] "2008-05-03 GMT" "2008-05-04 GMT" "2008-05-05 GMT" "2008-05-06 GMT"
##  [145] "2008-05-07 GMT" "2008-05-08 GMT" "2008-05-09 GMT" "2008-05-10 GMT"
##  [149] "2008-05-11 GMT" "2008-05-12 GMT" "2008-05-13 GMT" "2008-05-14 GMT"
##  [153] "2008-05-15 GMT" "2008-05-16 GMT" "2008-05-17 GMT" "2008-05-18 GMT"
##  [157] "2008-05-19 GMT" "2008-05-20 GMT" "2008-05-21 GMT" "2008-05-22 GMT"
##  [161] "2008-05-23 GMT" "2008-05-24 GMT" "2008-05-25 GMT" "2008-05-26 GMT"
##  [165] "2008-05-27 GMT" "2008-05-28 GMT" "2008-05-29 GMT" "2008-05-30 GMT"
##  [169] "2008-05-31 GMT" "2008-06-03 GMT" "2008-06-04 GMT" "2008-06-05 GMT"
##  [173] "2008-06-06 GMT" "2008-06-07 GMT" "2008-06-08 GMT" "2008-06-09 GMT"
##  [177] "2008-06-10 GMT" "2008-06-11 GMT" "2008-06-12 GMT" "2008-06-13 GMT"
##  [181] "2008-06-14 GMT" "2008-06-15 GMT" "2008-06-16 GMT" "2008-06-17 GMT"
##  [185] "2008-06-18 GMT" "2008-06-19 GMT" "2008-06-20 GMT" "2008-06-21 GMT"
##  [189] "2008-06-22 GMT" "2008-06-23 GMT" "2008-06-24 GMT" "2008-06-25 GMT"
##  [193] "2008-06-26 GMT" "2008-06-27 GMT" "2008-06-28 GMT" "2008-06-29 GMT"
##  [197] "2008-06-30 GMT" "2008-07-02 GMT" "2008-07-03 GMT" "2008-07-04 GMT"
##  [201] "2008-07-05 GMT" "2008-07-06 GMT" "2008-07-07 GMT" "2008-07-08 GMT"
##  [205] "2008-07-09 GMT" "2008-07-10 GMT" "2008-07-11 GMT" "2008-07-12 GMT"
##  [209] "2008-08-01 GMT" "2008-08-02 GMT" "2008-08-03 GMT" "2008-08-04 GMT"
##  [213] "2008-08-05 GMT" "2008-08-06 GMT" "2008-08-07 GMT" "2008-08-08 GMT"
##  [217] "2008-08-09 GMT" "2008-08-10 GMT" "2008-08-11 GMT" "2008-08-12 GMT"
##  [221] "2008-08-13 GMT" "2008-08-14 GMT" "2008-08-15 GMT" "2008-08-16 GMT"
##  [225] "2008-08-17 GMT" "2008-08-18 GMT" "2008-08-19 GMT" "2008-08-20 GMT"
##  [229] "2008-08-21 GMT" "2008-08-22 GMT" "2008-08-23 GMT" "2008-08-24 GMT"
##  [233] "2008-08-25 GMT" "2008-08-26 GMT" "2008-08-27 GMT" "2008-08-28 GMT"
##  [237] "2008-08-29 GMT" "2008-08-30 GMT" "2008-08-31 GMT" "2008-09-01 GMT"
##  [241] "2008-09-02 GMT" "2008-09-03 GMT" "2008-09-04 GMT" "2008-09-05 GMT"
##  [245] "2008-09-06 GMT" "2008-09-07 GMT" "2008-09-08 GMT" "2008-09-09 GMT"
##  [249] "2008-09-10 GMT" "2008-09-11 GMT" "2008-09-12 GMT" "2008-09-13 GMT"
##  [253] "2008-09-14 GMT" "2008-09-15 GMT" "2008-09-16 GMT" "2008-09-17 GMT"
##  [257] "2008-09-18 GMT" "2008-09-19 GMT" "2008-09-20 GMT" "2008-09-21 GMT"
##  [261] "2008-09-22 GMT" "2008-09-23 GMT" "2008-09-24 GMT" "2008-09-25 GMT"
##  [265] "2008-09-26 GMT" "2008-09-27 GMT" "2008-09-28 GMT" "2008-09-29 GMT"
##  [269] "2008-09-30 GMT" "2008-10-01 GMT" "2008-10-02 GMT" "2008-10-03 GMT"
##  [273] "2008-10-04 GMT" "2008-10-05 GMT" "2008-10-06 GMT" "2008-10-07 GMT"
##  [277] "2008-10-08 GMT" "2008-10-09 GMT" "2008-10-10 GMT" "2008-10-11 GMT"
##  [281] "2008-10-12 GMT" "2008-10-13 GMT" "2008-10-14 GMT" "2008-10-15 GMT"
##  [285] "2008-10-16 GMT" "2008-10-17 GMT" "2008-10-18 GMT" "2008-10-19 GMT"
##  [289] "2008-10-20 GMT" "2008-10-23 GMT" "2008-10-24 GMT" "2008-10-25 GMT"
##  [293] "2008-10-26 GMT" "2008-10-27 GMT" "2008-10-28 GMT" "2008-10-29 GMT"
##  [297] "2008-10-30 GMT" "2008-10-31 GMT" "2008-11-01 GMT" "2008-11-02 GMT"
##  [301] "2008-11-03 GMT" "2008-11-04 GMT" "2008-11-05 GMT" "2008-11-06 GMT"
##  [305] "2008-11-07 GMT" "2008-11-08 GMT" "2008-11-09 GMT" "2008-11-10 GMT"
##  [309] "2008-11-11 GMT" "2008-11-12 GMT" "2008-11-13 GMT" "2008-11-14 GMT"
##  [313] "2008-11-15 GMT" "2008-11-16 GMT" "2008-11-17 GMT" "2008-11-18 GMT"
##  [317] "2008-11-19 GMT" "2008-11-20 GMT" "2008-11-21 GMT" "2008-11-22 GMT"
##  [321] "2008-11-23 GMT" "2008-11-24 GMT" "2008-11-25 GMT" "2008-11-26 GMT"
##  [325] "2008-11-27 GMT" "2008-11-28 GMT" "2008-11-29 GMT" "2008-11-30 GMT"
##  [329] "2008-12-01 GMT" "2008-12-02 GMT" "2008-12-03 GMT" "2008-12-04 GMT"
##  [333] "2008-12-05 GMT" "2008-12-06 GMT" "2008-12-07 GMT" "2008-12-08 GMT"
##  [337] "2008-12-09 GMT" "2008-12-10 GMT" "2008-12-11 GMT" "2008-12-12 GMT"
##  [341] "2008-12-13 GMT" "2008-12-14 GMT" "2008-12-15 GMT" "2008-12-16 GMT"
##  [345] "2008-12-17 GMT" "2008-12-18 GMT" "2008-12-19 GMT" "2008-12-20 GMT"
##  [349] "2008-12-21 GMT" "2008-12-22 GMT" "2008-12-23 GMT" "2008-12-24 GMT"
##  [353] "2008-12-25 GMT" "2008-12-26 GMT" "2008-12-27 GMT" "2008-12-28 GMT"
##  [357] "2008-12-29 GMT" "2008-12-30 GMT" "2008-12-31 GMT" "2009-01-01 GMT"
##  [361] "2009-01-02 GMT" "2009-01-03 GMT" "2009-01-04 GMT" "2009-01-05 GMT"
##  [365] "2009-01-06 GMT" "2009-01-07 GMT" "2009-01-08 GMT" "2009-01-09 GMT"
##  [369] "2009-01-10 GMT" "2009-01-11 GMT" "2009-01-12 GMT" "2009-01-13 GMT"
##  [373] "2009-01-14 GMT" "2009-01-15 GMT" "2009-01-16 GMT" "2009-01-17 GMT"
##  [377] "2009-01-18 GMT" "2009-01-19 GMT" "2009-01-20 GMT" "2009-01-21 GMT"
##  [381] "2009-01-22 GMT" "2009-01-23 GMT" "2009-01-24 GMT" "2009-01-25 GMT"
##  [385] "2009-01-26 GMT" "2009-01-27 GMT" "2009-01-28 GMT" "2009-01-29 GMT"
##  [389] "2009-01-30 GMT" "2009-01-31 GMT" "2009-02-01 GMT" "2009-02-02 GMT"
##  [393] "2009-02-03 GMT" "2009-02-04 GMT" "2009-02-05 GMT" "2009-02-06 GMT"
##  [397] "2009-02-07 GMT" "2009-02-08 GMT" "2009-02-09 GMT" "2009-02-10 GMT"
##  [401] "2009-02-11 GMT" "2009-02-12 GMT" "2009-02-13 GMT" "2009-02-14 GMT"
##  [405] "2009-02-15 GMT" "2009-02-16 GMT" "2009-02-17 GMT" "2009-02-18 GMT"
##  [409] "2009-02-19 GMT" "2009-02-20 GMT" "2009-02-21 GMT" "2009-02-22 GMT"
##  [413] "2009-02-23 GMT" "2009-02-24 GMT" "2009-02-25 GMT" "2009-02-26 GMT"
##  [417] "2009-02-27 GMT" "2009-02-28 GMT" "2009-03-01 GMT" "2009-03-02 GMT"
##  [421] "2009-03-03 GMT" "2009-03-04 GMT" "2009-03-05 GMT" "2009-03-06 GMT"
##  [425] "2009-03-07 GMT" "2009-03-08 GMT" "2009-03-09 GMT" "2009-03-10 GMT"
##  [429] "2009-03-11 GMT" "2009-03-12 GMT" "2009-03-13 GMT" "2009-03-14 GMT"
##  [433] "2009-03-15 GMT" "2009-03-16 GMT" "2009-03-17 GMT" "2009-03-18 GMT"
##  [437] "2009-03-19 GMT" "2009-03-20 GMT" "2009-03-21 GMT" "2009-03-22 GMT"
##  [441] "2009-03-23 GMT" "2009-03-24 GMT" "2009-03-25 GMT" "2009-03-26 GMT"
##  [445] "2009-03-27 GMT" "2009-03-28 GMT" "2009-03-29 GMT" "2009-03-30 GMT"
##  [449] "2009-03-31 GMT" "2009-04-01 GMT" "2009-04-02 GMT" "2009-04-03 GMT"
##  [453] "2009-04-04 GMT" "2009-04-05 GMT" "2009-04-06 GMT" "2009-04-07 GMT"
##  [457] "2009-04-08 GMT" "2009-04-09 GMT" "2009-04-10 GMT" "2009-04-11 GMT"
##  [461] "2009-04-12 GMT" "2009-04-13 GMT" "2009-04-14 GMT" "2009-04-15 GMT"
##  [465] "2009-04-16 GMT" "2009-04-17 GMT" "2009-04-18 GMT" "2009-04-19 GMT"
##  [469] "2009-04-20 GMT" "2009-04-21 GMT" "2009-04-22 GMT" "2009-04-23 GMT"
##  [473] "2009-04-24 GMT" "2009-04-25 GMT" "2009-04-26 GMT" "2009-04-27 GMT"
##  [477] "2009-04-28 GMT" "2009-04-29 GMT" "2009-04-30 GMT" "2009-05-01 GMT"
##  [481] "2009-05-02 GMT" "2009-05-03 GMT" "2009-05-04 GMT" "2009-05-05 GMT"
##  [485] "2009-05-06 GMT" "2009-05-07 GMT" "2009-05-08 GMT" "2009-05-09 GMT"
##  [489] "2009-05-10 GMT" "2009-05-11 GMT" "2009-05-12 GMT" "2009-05-13 GMT"
##  [493] "2009-05-14 GMT" "2009-05-15 GMT" "2009-05-16 GMT" "2009-05-17 GMT"
##  [497] "2009-05-18 GMT" "2009-05-19 GMT" "2009-05-20 GMT" "2009-05-21 GMT"
##  [501] "2009-05-22 GMT" "2009-05-23 GMT" "2009-05-24 GMT" "2009-05-25 GMT"
##  [505] "2009-05-26 GMT" "2009-05-27 GMT" "2009-05-28 GMT" "2009-05-29 GMT"
##  [509] "2009-05-30 GMT" "2009-05-31 GMT" "2009-06-01 GMT" "2009-06-02 GMT"
##  [513] "2009-06-03 GMT" "2009-06-04 GMT" "2009-06-05 GMT" "2009-06-06 GMT"
##  [517] "2009-06-07 GMT" "2009-06-08 GMT" "2009-06-09 GMT" "2009-06-10 GMT"
##  [521] "2009-06-11 GMT" "2009-06-12 GMT" "2009-06-13 GMT" "2009-06-14 GMT"
##  [525] "2009-06-15 GMT" "2009-06-16 GMT" "2009-06-17 GMT" "2009-06-18 GMT"
##  [529] "2009-06-19 GMT" "2009-06-20 GMT" "2009-06-21 GMT" "2009-06-22 GMT"
##  [533] "2009-06-23 GMT" "2009-06-24 GMT" "2009-06-25 GMT" "2009-06-26 GMT"
##  [537] "2009-06-27 GMT" "2009-06-28 GMT" "2009-06-29 GMT" "2009-06-30 GMT"
##  [541] "2009-07-01 GMT" "2009-07-02 GMT" "2009-07-03 GMT" "2009-07-04 GMT"
##  [545] "2009-07-05 GMT" "2009-07-06 GMT" "2009-07-07 GMT" "2009-07-08 GMT"
##  [549] "2009-07-09 GMT" "2009-07-10 GMT" "2009-07-11 GMT" "2009-07-12 GMT"
##  [553] "2009-07-13 GMT" "2009-07-14 GMT" "2009-07-15 GMT" "2009-07-16 GMT"
##  [557] "2009-07-17 GMT" "2009-07-18 GMT" "2009-07-19 GMT" "2009-07-20 GMT"
##  [561] "2009-07-21 GMT" "2009-07-22 GMT" "2009-07-23 GMT" "2009-07-24 GMT"
##  [565] "2009-07-25 GMT" "2009-07-26 GMT" "2009-07-27 GMT" "2009-07-28 GMT"
##  [569] "2009-07-29 GMT" "2009-07-30 GMT" "2009-07-31 GMT" "2009-08-01 GMT"
##  [573] "2009-08-02 GMT" "2009-08-03 GMT" "2009-08-04 GMT" "2009-08-05 GMT"
##  [577] "2009-08-06 GMT" "2009-08-07 GMT" "2009-08-08 GMT" "2009-08-09 GMT"
##  [581] "2009-08-10 GMT" "2009-08-11 GMT" "2009-08-12 GMT" "2009-08-13 GMT"
##  [585] "2009-08-14 GMT" "2009-08-15 GMT" "2009-08-16 GMT" "2009-08-17 GMT"
##  [589] "2009-08-18 GMT" "2009-08-19 GMT" "2009-08-20 GMT" "2009-08-21 GMT"
##  [593] "2009-08-22 GMT" "2009-08-23 GMT" "2009-08-24 GMT" "2009-08-25 GMT"
##  [597] "2009-08-26 GMT" "2009-08-27 GMT" "2009-08-28 GMT" "2009-08-29 GMT"
##  [601] "2009-08-30 GMT" "2009-08-31 GMT" "2009-09-01 GMT" "2009-09-02 GMT"
##  [605] "2009-09-03 GMT" "2009-09-04 GMT" "2009-09-05 GMT" "2009-09-06 GMT"
##  [609] "2009-09-07 GMT" "2009-09-08 GMT" "2009-09-09 GMT" "2009-09-10 GMT"
##  [613] "2009-09-11 GMT" "2009-09-12 GMT" "2009-09-13 GMT" "2009-09-14 GMT"
##  [617] "2009-09-15 GMT" "2009-09-16 GMT" "2009-09-17 GMT" "2009-09-18 GMT"
##  [621] "2009-09-19 GMT" "2009-09-20 GMT" "2009-09-21 GMT" "2009-09-22 GMT"
##  [625] "2009-09-24 GMT" "2009-09-28 GMT" "2009-09-29 GMT" "2009-09-30 GMT"
##  [629] "2009-10-01 GMT" "2009-10-02 GMT" "2009-10-03 GMT" "2009-10-04 GMT"
##  [633] "2009-10-05 GMT" "2009-10-06 GMT" "2009-10-07 GMT" "2009-10-08 GMT"
##  [637] "2009-10-09 GMT" "2009-10-10 GMT" "2009-10-11 GMT" "2009-10-12 GMT"
##  [641] "2009-10-13 GMT" "2009-10-17 GMT" "2009-10-18 GMT" "2009-10-19 GMT"
##  [645] "2009-10-20 GMT" "2009-10-21 GMT" "2009-10-22 GMT" "2009-10-23 GMT"
##  [649] "2009-10-24 GMT" "2009-10-25 GMT" "2009-10-26 GMT" "2009-10-27 GMT"
##  [653] "2009-10-28 GMT" "2009-10-29 GMT" "2009-10-30 GMT" "2009-10-31 GMT"
##  [657] "2009-11-01 GMT" "2009-11-02 GMT" "2009-11-03 GMT" "2009-11-04 GMT"
##  [661] "2009-11-05 GMT" "2009-11-06 GMT" "2009-11-07 GMT" "2009-11-08 GMT"
##  [665] "2009-11-09 GMT" "2009-11-10 GMT" "2009-11-11 GMT" "2009-11-12 GMT"
##  [669] "2009-11-13 GMT" "2009-11-14 GMT" "2009-11-16 GMT" "2009-11-17 GMT"
##  [673] "2009-11-18 GMT" "2009-11-19 GMT" "2009-11-20 GMT" "2009-11-21 GMT"
##  [677] "2009-11-23 GMT" "2009-11-24 GMT" "2009-11-25 GMT" "2009-11-26 GMT"
##  [681] "2009-11-27 GMT" "2009-11-28 GMT" "2009-11-29 GMT" "2009-11-30 GMT"
##  [685] "2009-12-01 GMT" "2009-12-02 GMT" "2009-12-03 GMT" "2009-12-04 GMT"
##  [689] "2009-12-05 GMT" "2009-12-06 GMT" "2009-12-07 GMT" "2009-12-08 GMT"
##  [693] "2009-12-09 GMT" "2009-12-10 GMT" "2009-12-11 GMT" "2009-12-12 GMT"
##  [697] "2009-12-13 GMT" "2009-12-14 GMT" "2009-12-15 GMT" "2009-12-16 GMT"
##  [701] "2009-12-17 GMT" "2009-12-18 GMT" "2009-12-19 GMT" "2009-12-20 GMT"
##  [705] "2009-12-21 GMT" "2009-12-22 GMT" "2009-12-23 GMT" "2009-12-24 GMT"
##  [709] "2009-12-25 GMT" "2009-12-26 GMT" "2009-12-27 GMT" "2009-12-28 GMT"
##  [713] "2009-12-29 GMT" "2009-12-30 GMT" "2009-12-31 GMT" "2010-01-01 GMT"
##  [717] "2010-01-02 GMT" "2010-01-03 GMT" "2010-01-04 GMT" "2010-01-05 GMT"
##  [721] "2010-01-06 GMT" "2010-01-07 GMT" "2010-01-08 GMT" "2010-01-09 GMT"
##  [725] "2010-01-10 GMT" "2010-01-11 GMT" "2010-01-12 GMT" "2010-01-13 GMT"
##  [729] "2010-01-14 GMT" "2010-01-15 GMT" "2010-01-16 GMT" "2010-01-17 GMT"
##  [733] "2010-01-18 GMT" "2010-01-19 GMT" "2010-01-20 GMT" "2010-01-21 GMT"
##  [737] "2010-01-22 GMT" "2010-01-25 GMT" "2010-01-26 GMT" "2010-01-27 GMT"
##  [741] "2010-01-28 GMT" "2010-01-29 GMT" "2010-01-30 GMT" "2010-01-31 GMT"
##  [745] "2010-02-01 GMT" "2010-02-02 GMT" "2010-02-03 GMT" "2010-02-04 GMT"
##  [749] "2010-02-05 GMT" "2010-02-06 GMT" "2010-02-07 GMT" "2010-02-09 GMT"
##  [753] "2010-02-10 GMT" "2010-02-11 GMT" "2010-02-12 GMT" "2010-02-13 GMT"
##  [757] "2010-02-14 GMT" "2010-02-15 GMT" "2010-02-16 GMT" "2010-02-17 GMT"
##  [761] "2010-02-18 GMT" "2010-02-19 GMT" "2010-02-20 GMT" "2010-02-21 GMT"
##  [765] "2010-02-22 GMT" "2010-02-24 GMT" "2010-02-25 GMT" "2010-02-26 GMT"
##  [769] "2010-02-27 GMT" "2010-02-28 GMT" "2010-03-01 GMT" "2010-03-02 GMT"
##  [773] "2010-03-03 GMT" "2010-03-04 GMT" "2010-03-05 GMT" "2010-03-06 GMT"
##  [777] "2010-03-07 GMT" "2010-03-08 GMT" "2010-03-09 GMT" "2010-03-10 GMT"
##  [781] "2010-03-11 GMT" "2010-03-12 GMT" "2010-03-13 GMT" "2010-03-14 GMT"
##  [785] "2010-03-15 GMT" "2010-03-16 GMT" "2010-03-17 GMT" "2010-03-18 GMT"
##  [789] "2010-03-19 GMT" "2010-03-20 GMT" "2010-03-21 GMT" "2010-03-22 GMT"
##  [793] "2010-03-23 GMT" "2010-03-24 GMT" "2010-03-25 GMT" "2010-03-26 GMT"
##  [797] "2010-03-27 GMT" "2010-03-28 GMT" "2010-03-29 GMT" "2010-03-30 GMT"
##  [801] "2010-03-31 GMT" "2010-04-01 GMT" "2010-04-02 GMT" "2010-04-03 GMT"
##  [805] "2010-04-04 GMT" "2010-04-05 GMT" "2010-04-06 GMT" "2010-04-07 GMT"
##  [809] "2010-04-08 GMT" "2010-04-09 GMT" "2010-04-10 GMT" "2010-04-11 GMT"
##  [813] "2010-04-12 GMT" "2010-04-13 GMT" "2010-04-14 GMT" "2010-04-15 GMT"
##  [817] "2010-04-16 GMT" "2010-04-17 GMT" "2010-04-18 GMT" "2010-04-19 GMT"
##  [821] "2010-04-20 GMT" "2010-04-21 GMT" "2010-04-22 GMT" "2010-04-23 GMT"
##  [825] "2010-04-24 GMT" "2010-04-25 GMT" "2010-04-26 GMT" "2010-04-27 GMT"
##  [829] "2010-04-28 GMT" "2010-04-29 GMT" "2010-04-30 GMT" "2010-05-01 GMT"
##  [833] "2010-05-02 GMT" "2010-05-03 GMT" "2010-05-04 GMT" "2010-05-05 GMT"
##  [837] "2010-05-06 GMT" "2010-05-07 GMT" "2010-05-08 GMT" "2010-05-09 GMT"
##  [841] "2010-05-10 GMT" "2010-05-11 GMT" "2010-05-12 GMT" "2010-05-13 GMT"
##  [845] "2010-05-14 GMT" "2010-05-15 GMT" "2010-05-16 GMT" "2010-05-17 GMT"
##  [849] "2010-05-18 GMT" "2010-05-19 GMT" "2010-05-20 GMT" "2010-05-21 GMT"
##  [853] "2010-05-22 GMT" "2010-05-23 GMT" "2010-05-24 GMT" "2010-05-25 GMT"
##  [857] "2010-05-26 GMT" "2010-05-27 GMT" "2010-05-28 GMT" "2010-05-29 GMT"
##  [861] "2010-05-30 GMT" "2010-05-31 GMT" "2010-06-01 GMT" "2010-06-02 GMT"
##  [865] "2010-06-03 GMT" "2010-06-04 GMT" "2010-06-05 GMT" "2010-06-06 GMT"
##  [869] "2010-06-07 GMT" "2010-06-08 GMT" "2010-06-09 GMT" "2010-06-10 GMT"
##  [873] "2010-06-11 GMT" "2010-06-12 GMT" "2010-06-13 GMT" "2010-06-14 GMT"
##  [877] "2010-06-15 GMT" "2010-06-16 GMT" "2010-06-17 GMT" "2010-06-18 GMT"
##  [881] "2010-06-19 GMT" "2010-06-20 GMT" "2010-06-21 GMT" "2010-06-22 GMT"
##  [885] "2010-06-23 GMT" "2010-06-24 GMT" "2010-06-25 GMT" "2010-06-27 GMT"
##  [889] "2010-06-29 GMT" "2010-06-30 GMT" "2010-07-01 GMT" "2010-07-02 GMT"
##  [893] "2010-07-03 GMT" "2010-07-04 GMT" "2010-07-06 GMT" "2010-07-11 GMT"
##  [897] "2010-07-12 GMT" "2010-07-13 GMT" "2010-07-14 GMT" "2010-07-15 GMT"
##  [901] "2010-07-16 GMT" "2010-07-17 GMT" "2010-07-18 GMT" "2010-07-19 GMT"
##  [905] "2010-07-20 GMT" "2010-07-21 GMT" "2010-07-22 GMT" "2010-07-23 GMT"
##  [909] "2010-07-24 GMT" "2010-07-25 GMT" "2010-07-26 GMT" "2010-07-27 GMT"
##  [913] "2010-07-28 GMT" "2010-07-29 GMT" "2010-07-30 GMT" "2010-07-31 GMT"
##  [917] "2010-08-01 GMT" "2010-08-02 GMT" "2010-08-03 GMT" "2010-08-04 GMT"
##  [921] "2010-08-05 GMT" "2010-08-06 GMT" "2010-08-07 GMT" "2010-08-08 GMT"
##  [925] "2010-08-09 GMT" "2010-08-10 GMT" "2010-08-11 GMT" "2010-08-12 GMT"
##  [929] "2010-08-13 GMT" "2010-08-14 GMT" "2010-08-15 GMT" "2010-08-16 GMT"
##  [933] "2010-08-17 GMT" "2010-08-18 GMT" "2010-08-19 GMT" "2010-08-20 GMT"
##  [937] "2010-08-21 GMT" "2010-08-22 GMT" "2010-08-23 GMT" "2010-08-24 GMT"
##  [941] "2010-08-25 GMT" "2010-08-26 GMT" "2010-08-27 GMT" "2010-08-28 GMT"
##  [945] "2010-08-29 GMT" "2010-08-30 GMT" "2010-08-31 GMT" "2010-09-01 GMT"
##  [949] "2010-09-02 GMT" "2010-09-03 GMT" "2010-09-04 GMT" "2010-09-05 GMT"
##  [953] "2010-09-06 GMT" "2010-09-07 GMT" "2010-09-08 GMT" "2010-09-09 GMT"
##  [957] "2010-09-10 GMT" "2010-09-11 GMT" "2010-09-12 GMT" "2010-09-13 GMT"
##  [961] "2010-09-14 GMT" "2010-09-15 GMT" "2010-09-16 GMT" "2010-09-17 GMT"
##  [965] "2010-09-18 GMT" "2010-09-19 GMT" "2010-09-20 GMT" "2010-09-21 GMT"
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##  [993] "2010-10-16 GMT" "2010-10-17 GMT" "2010-10-18 GMT" "2010-10-19 GMT"
##  [997] "2010-10-20 GMT" "2010-10-21 GMT" "2010-10-22 GMT" "2010-10-23 GMT"
## [1001] "2010-10-24 GMT" "2010-10-25 GMT" "2010-10-26 GMT" "2010-10-27 GMT"
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## [1013] "2010-11-05 GMT" "2010-11-06 GMT" "2010-11-07 GMT" "2010-11-08 GMT"
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## [1021] "2010-11-13 GMT" "2010-11-14 GMT" "2010-11-15 GMT" "2010-11-16 GMT"
## [1025] "2010-11-17 GMT" "2010-11-18 GMT" "2010-11-19 GMT" "2010-11-20 GMT"
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## [1049] "2010-12-11 GMT" "2010-12-12 GMT" "2010-12-13 GMT" "2010-12-14 GMT"
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## [1085] "2011-01-16 GMT" "2011-01-17 GMT" "2011-01-18 GMT" "2011-01-19 GMT"
## [1089] "2011-01-20 GMT" "2011-01-21 GMT" "2011-01-22 GMT" "2011-01-23 GMT"
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## [1105] "2011-02-05 GMT" "2011-02-06 GMT" "2011-02-07 GMT" "2011-02-08 GMT"
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## [1133] "2011-03-05 GMT" "2011-03-06 GMT" "2011-03-07 GMT" "2011-03-08 GMT"
## [1137] "2011-03-09 GMT" "2011-03-10 GMT" "2011-03-11 GMT" "2011-03-12 GMT"
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## [1145] "2011-03-17 GMT" "2011-03-18 GMT" "2011-03-19 GMT" "2011-03-20 GMT"
## [1149] "2011-03-21 GMT" "2011-03-22 GMT" "2011-03-23 GMT" "2011-03-24 GMT"
## [1153] "2011-03-25 GMT" "2011-03-26 GMT" "2011-03-27 GMT" "2011-03-28 GMT"
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## [1169] "2011-04-10 GMT" "2011-04-11 GMT" "2011-04-12 GMT" "2011-04-13 GMT"
## [1173] "2011-04-14 GMT" "2011-04-15 GMT" "2011-04-16 GMT" "2011-04-17 GMT"
## [1177] "2011-04-18 GMT" "2011-04-19 GMT" "2011-04-20 GMT" "2011-04-21 GMT"
## [1181] "2011-04-22 GMT" "2011-04-23 GMT" "2011-04-24 GMT" "2011-04-25 GMT"
## [1185] "2011-04-26 GMT" "2011-04-27 GMT" "2011-04-28 GMT" "2011-04-29 GMT"
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## [1205] "2011-05-16 GMT" "2011-05-17 GMT" "2011-05-18 GMT" "2011-05-19 GMT"
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## [1225] "2011-06-05 GMT" "2011-06-06 GMT" "2011-06-07 GMT" "2011-06-08 GMT"
## [1229] "2011-06-09 GMT" "2011-06-10 GMT" "2011-06-11 GMT" "2011-06-12 GMT"
## [1233] "2011-06-13 GMT" "2011-06-14 GMT" "2011-06-15 GMT" "2011-06-16 GMT"
## [1237] "2011-06-17 GMT" "2011-06-18 GMT" "2011-06-19 GMT" "2011-06-20 GMT"
## [1241] "2011-06-21 GMT" "2011-06-22 GMT" "2011-06-23 GMT" "2011-06-24 GMT"
## [1245] "2011-06-25 GMT" "2011-06-26 GMT" "2011-06-27 GMT" "2011-06-28 GMT"
## [1249] "2011-06-29 GMT" "2011-06-30 GMT" "2011-07-01 GMT" "2011-07-02 GMT"
## [1253] "2011-07-03 GMT" "2011-07-04 GMT" "2011-07-05 GMT" "2011-07-06 GMT"
## [1257] "2011-07-07 GMT" "2011-07-08 GMT" "2011-07-09 GMT" "2011-07-10 GMT"
## [1261] "2011-07-11 GMT" "2011-07-12 GMT" "2011-07-13 GMT" "2011-07-14 GMT"
## [1265] "2011-07-15 GMT" "2011-07-16 GMT" "2011-07-17 GMT" "2011-07-18 GMT"
## [1269] "2011-07-19 GMT" "2011-07-20 GMT" "2011-07-21 GMT" "2011-07-22 GMT"
## [1273] "2011-07-23 GMT" "2011-07-24 GMT" "2011-07-25 GMT" "2011-07-26 GMT"
## [1277] "2011-07-27 GMT" "2011-07-28 GMT" "2011-07-29 GMT" "2011-07-30 GMT"
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## [1285] "2011-08-04 GMT" "2011-08-05 GMT" "2011-08-06 GMT" "2011-08-07 GMT"
## [1289] "2011-08-08 GMT" "2011-08-09 GMT" "2011-08-10 GMT" "2011-08-11 GMT"
## [1293] "2011-08-12 GMT" "2011-08-13 GMT" "2011-08-14 GMT" "2011-08-15 GMT"
## [1297] "2011-08-16 GMT" "2011-08-17 GMT" "2011-08-18 GMT" "2011-08-19 GMT"
## [1301] "2011-08-20 GMT" "2011-08-21 GMT" "2011-08-22 GMT" "2011-08-23 GMT"
## [1305] "2011-08-24 GMT" "2011-08-25 GMT" "2011-08-26 GMT" "2011-08-27 GMT"
## [1309] "2011-08-28 GMT" "2011-08-29 GMT" "2011-08-30 GMT" "2011-08-31 GMT"
## [1313] "2011-09-01 GMT" "2011-09-03 GMT" "2011-09-04 GMT" "2011-09-05 GMT"
## [1317] "2011-09-06 GMT" "2011-09-07 GMT" "2011-09-08 GMT" "2011-09-09 GMT"
## [1321] "2011-09-10 GMT" "2011-09-11 GMT" "2011-09-12 GMT" "2011-09-13 GMT"
## [1325] "2011-09-14 GMT" "2011-09-15 GMT" "2011-09-16 GMT" "2011-09-17 GMT"
## [1329] "2011-09-18 GMT" "2011-09-19 GMT" "2011-09-20 GMT" "2011-09-21 GMT"
## [1333] "2011-09-22 GMT" "2011-09-23 GMT" "2011-09-24 GMT" "2011-09-25 GMT"
## [1337] "2011-09-26 GMT" "2011-09-27 GMT" "2011-09-28 GMT" "2011-09-29 GMT"
## [1341] "2011-09-30 GMT" "2011-10-01 GMT" "2011-10-02 GMT" "2011-10-03 GMT"
## [1345] "2011-10-04 GMT" "2011-10-05 GMT" "2011-10-06 GMT" "2011-10-07 GMT"
## [1349] "2011-10-08 GMT" "2011-10-09 GMT" "2011-10-10 GMT" "2011-10-11 GMT"
## [1353] "2011-10-12 GMT" "2011-10-13 GMT" "2011-10-14 GMT" "2011-10-15 GMT"
## [1357] "2011-10-16 GMT" "2011-10-17 GMT" "2011-10-18 GMT" "2011-10-19 GMT"
## [1361] "2011-10-21 GMT" "2011-10-22 GMT" "2011-10-23 GMT" "2011-10-24 GMT"
## [1365] "2011-10-25 GMT" "2011-10-26 GMT" "2011-10-27 GMT" "2011-10-28 GMT"
## [1369] "2011-10-29 GMT" "2011-10-30 GMT" "2011-10-31 GMT" "2011-11-01 GMT"
## [1373] "2011-11-02 GMT" "2011-11-03 GMT" "2011-11-04 GMT" "2011-11-05 GMT"
## [1377] "2011-11-06 GMT" "2011-11-07 GMT" "2011-11-08 GMT" "2011-11-09 GMT"
## [1381] "2011-11-10 GMT" "2011-11-11 GMT" "2011-11-12 GMT" "2011-11-13 GMT"
## [1385] "2011-11-14 GMT" "2011-11-15 GMT" "2011-11-16 GMT" "2011-11-17 GMT"
## [1389] "2011-11-18 GMT" "2011-11-19 GMT" "2011-11-20 GMT" "2011-11-21 GMT"
## [1393] "2011-11-22 GMT" "2011-11-23 GMT" "2011-11-24 GMT" "2011-11-25 GMT"
## [1397] "2011-11-26 GMT" "2011-11-27 GMT" "2011-11-28 GMT" "2011-11-29 GMT"
## [1401] "2011-11-30 GMT" "2011-12-01 GMT" "2011-12-02 GMT" "2011-12-03 GMT"
## [1405] "2011-12-04 GMT" "2011-12-05 GMT" "2011-12-06 GMT" "2011-12-07 GMT"
## [1409] "2011-12-08 GMT" "2011-12-09 GMT" "2011-12-10 GMT" "2011-12-11 GMT"
## [1413] "2011-12-12 GMT" "2011-12-13 GMT" "2011-12-14 GMT" "2011-12-15 GMT"
## [1417] "2011-12-16 GMT" "2011-12-17 GMT" "2011-12-18 GMT" "2011-12-19 GMT"
## [1421] "2011-12-20 GMT" "2011-12-21 GMT" "2011-12-22 GMT" "2011-12-23 GMT"
## [1425] "2011-12-26 GMT" "2011-12-27 GMT" "2011-12-28 GMT" "2011-12-29 GMT"
## [1429] "2011-12-30 GMT" "2011-12-31 GMT" "2012-01-01 GMT" "2012-01-02 GMT"
## [1433] "2012-01-03 GMT" "2012-01-04 GMT" "2012-01-05 GMT" "2012-01-06 GMT"
## [1437] "2012-01-07 GMT" "2012-01-08 GMT" "2012-01-09 GMT" "2012-01-10 GMT"
## [1441] "2012-01-11 GMT" "2012-01-12 GMT" "2012-01-13 GMT" "2012-01-14 GMT"
## [1445] "2012-01-15 GMT" "2012-01-16 GMT" "2012-01-17 GMT" "2012-01-18 GMT"
## [1449] "2012-01-19 GMT" "2012-01-20 GMT" "2012-01-21 GMT" "2012-01-22 GMT"
## [1453] "2012-01-23 GMT" "2012-01-24 GMT" "2012-01-25 GMT" "2012-01-26 GMT"
## [1457] "2012-01-27 GMT" "2012-01-28 GMT" "2012-01-29 GMT" "2012-01-30 GMT"
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## [1465] "2012-02-04 GMT" "2012-02-05 GMT" "2012-02-06 GMT" "2012-02-07 GMT"
## [1469] "2012-02-08 GMT" "2012-02-09 GMT" "2012-02-10 GMT" "2012-02-11 GMT"
## [1473] "2012-02-12 GMT" "2012-02-13 GMT" "2012-02-14 GMT" "2012-02-15 GMT"
## [1477] "2012-02-16 GMT" "2012-02-17 GMT" "2012-02-18 GMT" "2012-02-19 GMT"
## [1481] "2012-02-20 GMT" "2012-02-21 GMT" "2012-02-22 GMT" "2012-02-23 GMT"
## [1485] "2012-02-24 GMT" "2012-02-25 GMT" "2012-02-26 GMT" "2012-02-27 GMT"
## [1489] "2012-02-28 GMT" "2012-02-29 GMT" "2012-03-01 GMT" "2012-03-02 GMT"
## [1493] "2012-03-03 GMT" "2012-03-04 GMT" "2012-03-05 GMT" "2012-03-06 GMT"
## [1497] "2012-03-07 GMT" "2012-03-08 GMT" "2012-03-09 GMT" "2012-03-10 GMT"
## [1501] "2012-03-11 GMT" "2012-03-12 GMT" "2012-03-13 GMT" "2012-03-14 GMT"
## [1505] "2012-03-15 GMT" "2012-03-16 GMT" "2012-03-17 GMT" "2012-03-18 GMT"
## [1509] "2012-03-19 GMT" "2012-03-20 GMT" "2012-03-21 GMT" "2012-03-22 GMT"
## [1513] "2012-03-23 GMT" "2012-03-24 GMT" "2012-03-25 GMT" "2012-03-26 GMT"
## [1517] "2012-03-27 GMT" "2012-03-28 GMT" "2012-03-29 GMT" "2012-03-30 GMT"
## [1521] "2012-03-31 GMT" "2012-04-01 GMT" "2012-04-02 GMT" "2012-04-03 GMT"
## [1525] "2012-04-04 GMT" "2012-04-05 GMT" "2012-04-06 GMT" "2012-04-07 GMT"
## [1529] "2012-04-08 GMT" "2012-04-09 GMT" "2012-04-10 GMT" "2012-04-11 GMT"
## [1533] "2012-04-12 GMT" "2012-04-13 GMT" "2012-04-14 GMT" "2012-04-15 GMT"
## [1537] "2012-04-16 GMT" "2012-04-17 GMT" "2012-04-18 GMT" "2012-04-19 GMT"
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## [1545] "2012-04-24 GMT" "2012-04-25 GMT" "2012-04-26 GMT" "2012-04-27 GMT"
## [1549] "2012-04-28 GMT" "2012-04-29 GMT" "2012-05-01 GMT" "2012-05-02 GMT"
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## [1577] "2012-05-27 GMT" "2012-05-28 GMT" "2012-05-29 GMT" "2012-05-30 GMT"
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## [1585] "2012-06-04 GMT" "2012-06-05 GMT" "2012-06-06 GMT" "2012-06-07 GMT"
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## [1793] "2012-12-29 GMT" "2012-12-30 GMT" "2012-12-31 GMT" "2013-01-01 GMT"
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## [2077] "2013-10-10 GMT" "2013-10-11 GMT" "2013-10-12 GMT" "2013-10-13 GMT"
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## [2089] "2013-10-22 GMT" "2013-10-23 GMT" "2013-10-24 GMT" "2013-10-25 GMT"
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## [2101] "2013-11-03 GMT" "2013-11-04 GMT" "2013-11-05 GMT" "2013-11-06 GMT"
## [2105] "2013-11-07 GMT" "2013-11-08 GMT" "2013-11-09 GMT" "2013-11-10 GMT"
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## [2117] "2013-11-19 GMT" "2013-11-20 GMT" "2013-11-21 GMT" "2013-11-22 GMT"
## [2121] "2013-11-23 GMT" "2013-11-24 GMT" "2013-11-25 GMT" "2013-11-26 GMT"
## [2125] "2013-11-27 GMT" "2013-11-28 GMT" "2013-11-29 GMT" "2013-11-30 GMT"
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## [2133] "2013-12-05 GMT" "2013-12-06 GMT" "2013-12-07 GMT" "2013-12-08 GMT"
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## [2141] "2013-12-13 GMT" "2013-12-14 GMT" "2013-12-15 GMT" "2013-12-16 GMT"
## [2145] "2013-12-17 GMT" "2013-12-18 GMT" "2013-12-19 GMT" "2013-12-20 GMT"
## [2149] "2013-12-21 GMT" "2013-12-22 GMT" "2013-12-23 GMT" "2013-12-24 GMT"
## [2153] "2013-12-25 GMT" "2013-12-26 GMT" "2013-12-27 GMT" "2013-12-28 GMT"
## [2157] "2013-12-29 GMT" "2013-12-30 GMT" "2013-12-31 GMT" "2014-01-01 GMT"
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## [2169] "2014-01-11 GMT" "2014-01-12 GMT" "2014-01-13 GMT" "2014-01-14 GMT"
## [2173] "2014-01-15 GMT" "2014-01-16 GMT" "2014-01-17 GMT" "2014-01-18 GMT"
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## [2181] "2014-01-23 GMT" "2014-01-24 GMT" "2014-01-25 GMT" "2014-01-26 GMT"
## [2185] "2014-01-27 GMT" "2014-01-28 GMT" "2014-01-29 GMT" "2014-01-30 GMT"
## [2189] "2014-01-31 GMT" "2014-02-01 GMT" "2014-02-02 GMT" "2014-02-03 GMT"
## [2193] "2014-02-04 GMT" "2014-02-05 GMT" "2014-02-06 GMT" "2014-02-07 GMT"
## [2197] "2014-02-08 GMT" "2014-02-09 GMT" "2014-02-10 GMT" "2014-02-11 GMT"
## [2201] "2014-02-12 GMT" "2014-02-13 GMT" "2014-02-14 GMT" "2014-02-15 GMT"
## [2205] "2014-02-16 GMT" "2014-02-17 GMT" "2014-02-18 GMT" "2014-02-19 GMT"
## [2209] "2014-02-20 GMT" "2014-02-21 GMT" "2014-02-22 GMT" "2014-02-23 GMT"
## [2213] "2014-02-24 GMT" "2014-02-25 GMT" "2014-02-26 GMT" "2014-02-27 GMT"
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## [2221] "2014-03-04 GMT" "2014-03-05 GMT" "2014-03-06 GMT" "2014-03-07 GMT"
## [2225] "2014-03-08 GMT" "2014-03-09 GMT" "2014-03-10 GMT" "2014-03-11 GMT"
## [2229] "2014-03-12 GMT" "2014-03-13 GMT" "2014-03-14 GMT" "2014-03-15 GMT"
## [2233] "2014-03-16 GMT" "2014-03-17 GMT" "2014-03-18 GMT" "2014-03-19 GMT"
## [2237] "2014-03-20 GMT" "2014-03-21 GMT" "2014-03-22 GMT" "2014-03-23 GMT"
## [2241] "2014-03-24 GMT" "2014-03-25 GMT" "2014-03-26 GMT" "2014-03-27 GMT"
## [2245] "2014-03-28 GMT" "2014-03-29 GMT" "2014-03-30 GMT" "2014-03-31 GMT"
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## [2253] "2014-04-05 GMT" "2014-04-06 GMT" "2014-04-07 GMT" "2014-04-08 GMT"
## [2257] "2014-04-09 GMT" "2014-04-10 GMT" "2014-04-11 GMT" "2014-04-12 GMT"
## [2261] "2014-04-13 GMT" "2014-04-14 GMT" "2014-04-15 GMT" "2014-04-16 GMT"
## [2265] "2014-04-17 GMT" "2014-04-18 GMT" "2014-04-19 GMT" "2014-04-20 GMT"
## [2269] "2014-04-21 GMT" "2014-04-22 GMT" "2014-04-23 GMT" "2014-04-24 GMT"
## [2273] "2014-04-25 GMT" "2014-04-26 GMT" "2014-04-27 GMT" "2014-04-28 GMT"
## [2277] "2014-04-29 GMT" "2014-04-30 GMT" "2014-05-01 GMT" "2014-05-02 GMT"
## [2281] "2014-05-03 GMT" "2014-05-04 GMT" "2014-05-05 GMT" "2014-05-06 GMT"
## [2285] "2014-05-07 GMT" "2014-05-08 GMT" "2014-05-09 GMT" "2014-05-10 GMT"
## [2289] "2014-05-11 GMT" "2014-05-12 GMT" "2014-05-13 GMT" "2014-05-14 GMT"
## [2293] "2014-05-15 GMT" "2014-05-16 GMT" "2014-05-17 GMT" "2014-05-18 GMT"
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## [2301] "2014-05-23 GMT" "2014-05-24 GMT" "2014-05-25 GMT" "2014-05-26 GMT"
## [2305] "2014-05-27 GMT" "2014-05-28 GMT" "2014-05-29 GMT" "2014-05-30 GMT"
## [2309] "2014-05-31 GMT" "2014-06-01 GMT" "2014-06-02 GMT" "2014-06-03 GMT"
## [2313] "2014-06-04 GMT" "2014-06-05 GMT" "2014-06-06 GMT" "2014-06-07 GMT"
## [2317] "2014-06-08 GMT" "2014-06-09 GMT" "2014-06-10 GMT" "2014-06-11 GMT"
## [2321] "2014-06-12 GMT" "2014-06-13 GMT" "2014-06-14 GMT" "2014-06-15 GMT"
## [2325] "2014-06-16 GMT" "2014-06-17 GMT" "2014-06-18 GMT" "2014-06-19 GMT"
## [2329] "2014-06-20 GMT" "2014-06-21 GMT" "2014-06-22 GMT" "2014-06-23 GMT"
## [2333] "2014-06-24 GMT" "2014-06-25 GMT" "2014-06-26 GMT" "2014-06-27 GMT"
## [2337] "2014-06-28 GMT" "2014-06-29 GMT" "2014-06-30 GMT" "2014-07-01 GMT"
## [2341] "2014-07-02 GMT" "2014-07-03 GMT" "2014-07-04 GMT" "2014-07-05 GMT"
## [2345] "2014-07-06 GMT" "2014-07-07 GMT" "2014-07-08 GMT" "2014-07-09 GMT"
## [2349] "2014-07-10 GMT" "2014-07-11 GMT" "2014-07-12 GMT" "2014-07-13 GMT"
## [2353] "2014-07-14 GMT" "2014-07-15 GMT" "2014-07-16 GMT" "2014-07-17 GMT"
## [2357] "2014-07-18 GMT" "2014-07-19 GMT" "2014-07-20 GMT" "2014-07-21 GMT"
## [2361] "2014-07-22 GMT" "2014-07-23 GMT" "2014-07-24 GMT" "2014-07-25 GMT"
## [2365] "2014-07-26 GMT" "2014-07-27 GMT" "2014-07-28 GMT" "2014-07-29 GMT"
## [2369] "2014-07-30 GMT" "2014-07-31 GMT" "2014-08-01 GMT" "2014-08-02 GMT"
## [2373] "2014-08-03 GMT" "2014-08-04 GMT" "2014-08-05 GMT" "2014-08-06 GMT"
## [2377] "2014-08-07 GMT" "2014-08-08 GMT" "2014-08-09 GMT" "2014-08-10 GMT"
## [2381] "2014-08-11 GMT" "2014-08-12 GMT" "2014-08-13 GMT" "2014-08-14 GMT"
## [2385] "2014-08-15 GMT" "2014-08-16 GMT" "2014-08-17 GMT" "2014-08-18 GMT"
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## [2405] "2014-09-05 GMT" "2014-09-06 GMT" "2014-09-07 GMT" "2014-09-08 GMT"
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## [2425] "2014-09-25 GMT" "2014-09-26 GMT" "2014-09-27 GMT" "2014-09-28 GMT"
## [2429] "2014-09-29 GMT" "2014-09-30 GMT" "2014-10-01 GMT" "2014-10-02 GMT"
## [2433] "2014-10-03 GMT" "2014-10-04 GMT" "2014-10-05 GMT" "2014-10-06 GMT"
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## [2625] "2015-04-14 GMT" "2015-04-15 GMT" "2015-04-16 GMT" "2015-04-17 GMT"
## [2629] "2015-04-18 GMT" "2015-04-19 GMT" "2015-04-20 GMT" "2015-04-21 GMT"
## [2633] "2015-04-22 GMT" "2015-04-23 GMT" "2015-04-24 GMT" "2015-04-25 GMT"
## [2637] "2015-04-26 GMT" "2015-04-27 GMT" "2015-04-28 GMT" "2015-04-29 GMT"
## [2641] "2015-04-30 GMT" "2015-05-01 GMT" "2015-05-02 GMT" "2015-05-03 GMT"
## [2645] "2015-05-04 GMT" "2015-05-05 GMT" "2015-05-06 GMT" "2015-05-07 GMT"
## [2649] "2015-05-08 GMT" "2015-05-09 GMT" "2015-05-10 GMT" "2015-05-11 GMT"
## [2653] "2015-05-12 GMT" "2015-05-13 GMT" "2015-05-14 GMT" "2015-05-15 GMT"
## [2657] "2015-05-16 GMT" "2015-05-17 GMT" "2015-05-18 GMT" "2015-05-19 GMT"
## [2661] "2015-05-20 GMT" "2015-05-21 GMT" "2015-05-22 GMT" "2015-05-23 GMT"
## [2665] "2015-05-24 GMT" "2015-05-25 GMT" "2015-05-26 GMT" "2015-05-27 GMT"
## [2669] "2015-05-28 GMT" "2015-05-29 GMT" "2015-05-30 GMT" "2015-05-31 GMT"
## [2673] "2015-06-01 GMT" "2015-06-02 GMT" "2015-06-03 GMT" "2015-06-04 GMT"
## [2677] "2015-06-05 GMT" "2015-06-06 GMT" "2015-06-07 GMT" "2015-06-08 GMT"
## [2681] "2015-06-09 GMT" "2015-06-10 GMT" "2015-06-11 GMT" "2015-06-12 GMT"
## [2685] "2015-06-13 GMT" "2015-06-14 GMT" "2015-06-15 GMT" "2015-06-16 GMT"
## [2689] "2015-06-17 GMT" "2015-06-18 GMT" "2015-06-19 GMT" "2015-06-20 GMT"
## [2693] "2015-06-21 GMT" "2015-06-22 GMT" "2015-06-23 GMT" "2015-06-24 GMT"
## [2697] "2015-06-25 GMT" "2015-06-26 GMT" "2015-06-27 GMT" "2015-06-28 GMT"
## [2701] "2015-06-29 GMT" "2015-06-30 GMT" "2015-07-01 GMT" "2015-07-02 GMT"
## [2705] "2015-07-03 GMT" "2015-07-04 GMT" "2015-07-05 GMT" "2015-07-06 GMT"
## [2709] "2015-07-07 GMT" "2015-07-08 GMT" "2015-07-09 GMT" "2015-07-10 GMT"
## [2713] "2015-07-11 GMT" "2015-07-12 GMT" "2015-07-13 GMT" "2015-07-14 GMT"
## [2717] "2015-07-15 GMT" "2015-07-16 GMT" "2015-07-17 GMT" "2015-07-18 GMT"
## [2721] "2015-07-19 GMT" "2015-07-20 GMT" "2015-07-21 GMT" "2015-07-22 GMT"
## [2725] "2015-07-23 GMT" "2015-07-24 GMT" "2015-07-25 GMT" "2015-07-26 GMT"
## [2729] "2015-07-27 GMT" "2015-07-28 GMT" "2015-07-29 GMT" "2015-07-30 GMT"
## [2733] "2015-07-31 GMT" "2015-08-01 GMT" "2015-08-02 GMT" "2015-08-03 GMT"
## [2737] "2015-08-04 GMT" "2015-08-05 GMT" "2015-08-06 GMT" "2015-08-07 GMT"
## [2741] "2015-08-08 GMT" "2015-08-09 GMT" "2015-08-10 GMT" "2015-08-11 GMT"
## [2745] "2015-08-12 GMT" "2015-08-13 GMT" "2015-08-14 GMT" "2015-08-15 GMT"
## [2749] "2015-08-16 GMT" "2015-08-17 GMT" "2015-08-18 GMT" "2015-08-19 GMT"
## [2753] "2015-08-20 GMT" "2015-08-21 GMT" "2015-08-22 GMT" "2015-08-23 GMT"
## [2757] "2015-08-24 GMT" "2015-08-25 GMT" "2015-08-26 GMT" "2015-08-27 GMT"
## [2761] "2015-08-28 GMT" "2015-08-29 GMT" "2015-08-30 GMT" "2015-08-31 GMT"
## [2765] "2015-09-01 GMT" "2015-09-02 GMT" "2015-09-03 GMT" "2015-09-04 GMT"
## [2769] "2015-09-05 GMT" "2015-09-06 GMT" "2015-09-07 GMT" "2015-09-08 GMT"
## [2773] "2015-09-09 GMT" "2015-09-10 GMT" "2015-09-11 GMT" "2015-09-12 GMT"
## [2777] "2015-09-13 GMT" "2015-09-14 GMT" "2015-09-15 GMT" "2015-09-16 GMT"
## [2781] "2015-09-17 GMT" "2015-09-18 GMT" "2015-09-19 GMT" "2015-09-20 GMT"
## [2785] "2015-09-21 GMT" "2015-09-22 GMT" "2015-09-23 GMT" "2015-09-24 GMT"
## [2789] "2015-09-25 GMT" "2015-09-26 GMT" "2015-09-27 GMT" "2015-09-28 GMT"
## [2793] "2015-09-29 GMT" "2015-09-30 GMT" "2015-10-01 GMT" "2015-10-02 GMT"
## [2797] "2015-10-03 GMT" "2015-10-04 GMT" "2015-10-05 GMT" "2015-10-06 GMT"
## [2801] "2015-10-07 GMT" "2015-10-08 GMT" "2015-10-09 GMT" "2015-10-10 GMT"
## [2805] "2015-10-11 GMT" "2015-10-13 GMT" "2015-10-14 GMT" "2015-10-15 GMT"
## [2809] "2015-10-16 GMT" "2015-10-17 GMT" "2015-10-18 GMT" "2015-10-19 GMT"
## [2813] "2015-10-20 GMT" "2015-10-21 GMT" "2015-10-22 GMT" "2015-10-23 GMT"
## [2817] "2015-10-24 GMT" "2015-10-25 GMT" "2015-10-26 GMT" "2015-10-27 GMT"
## [2821] "2015-10-28 GMT" "2015-10-29 GMT" "2015-10-30 GMT" "2015-10-31 GMT"
## [2825] "2015-11-01 GMT" "2015-11-02 GMT" "2015-11-03 GMT" "2015-11-04 GMT"
## [2829] "2015-11-05 GMT" "2015-11-06 GMT" "2015-11-07 GMT" "2015-11-08 GMT"
## [2833] "2015-11-09 GMT" "2015-11-10 GMT" "2015-11-11 GMT" "2015-11-12 GMT"
## [2837] "2015-11-13 GMT" "2015-11-14 GMT" "2015-11-15 GMT" "2015-11-16 GMT"
## [2841] "2015-11-17 GMT" "2015-11-18 GMT" "2015-11-19 GMT" "2015-11-20 GMT"
## [2845] "2015-11-21 GMT" "2015-11-22 GMT" "2015-11-23 GMT" "2015-11-24 GMT"
## [2849] "2015-11-25 GMT" "2015-11-26 GMT" "2015-11-27 GMT" "2015-11-28 GMT"
## [2853] "2015-11-29 GMT" "2015-11-30 GMT" "2015-12-01 GMT" "2015-12-02 GMT"
## [2857] "2015-12-03 GMT" "2015-12-04 GMT" "2015-12-05 GMT" "2015-12-06 GMT"
## [2861] "2015-12-07 GMT" "2015-12-08 GMT" "2015-12-09 GMT" "2015-12-10 GMT"
## [2865] "2015-12-11 GMT" "2015-12-12 GMT" "2015-12-13 GMT" "2015-12-14 GMT"
## [2869] "2015-12-15 GMT" "2015-12-16 GMT" "2015-12-17 GMT" "2015-12-18 GMT"
## [2873] "2015-12-19 GMT" "2015-12-20 GMT" "2015-12-21 GMT" "2015-12-22 GMT"
## [2877] "2015-12-23 GMT" "2015-12-24 GMT" "2015-12-25 GMT" "2015-12-26 GMT"
## [2881] "2015-12-27 GMT" "2015-12-28 GMT" "2015-12-29 GMT" "2015-12-30 GMT"
## [2885] "2015-12-31 GMT" "2016-01-01 GMT" "2016-01-02 GMT" "2016-01-03 GMT"
## [2889] "2016-01-04 GMT" "2016-01-05 GMT" "2016-01-06 GMT" "2016-01-07 GMT"
## [2893] "2016-01-08 GMT" "2016-01-09 GMT" "2016-01-10 GMT" "2016-01-11 GMT"
## [2897] "2016-01-12 GMT" "2016-01-13 GMT" "2016-01-14 GMT" "2016-01-15 GMT"
## [2901] "2016-01-16 GMT" "2016-01-17 GMT" "2016-01-18 GMT" "2016-01-19 GMT"
## [2905] "2016-01-20 GMT"
## 
## $train.holiday.names
## NULL
## 
## $train.component.cols
##    additive_terms weekly yearly multiplicative_terms
## 1               1      0      1                    0
## 2               1      0      1                    0
## 3               1      0      1                    0
## 4               1      0      1                    0
## 5               1      0      1                    0
## 6               1      0      1                    0
## 7               1      0      1                    0
## 8               1      0      1                    0
## 9               1      0      1                    0
## 10              1      0      1                    0
## 11              1      0      1                    0
## 12              1      0      1                    0
## 13              1      0      1                    0
## 14              1      0      1                    0
## 15              1      0      1                    0
## 16              1      0      1                    0
## 17              1      0      1                    0
## 18              1      0      1                    0
## 19              1      0      1                    0
## 20              1      0      1                    0
## 21              1      1      0                    0
## 22              1      1      0                    0
## 23              1      1      0                    0
## 24              1      1      0                    0
## 25              1      1      0                    0
## 26              1      1      0                    0
## 
## $component.modes
## $component.modes$additive
## [1] "yearly"                    "weekly"                   
## [3] "additive_terms"            "extra_regressors_additive"
## [5] "holidays"                 
## 
## $component.modes$multiplicative
## [1] "multiplicative_terms"            "extra_regressors_multiplicative"
## 
## 
## attr(,"class")
## [1] "prophet" "list"

8 Prophet FCST - create future dates

Prophet provides a built-in helper function make_future_dataframe which easily creates a dataframe with the future dates. The make_future_dataframe function requires only the input of frequency and number of future periods to be used. The historical data is kept by default for evaluation purposes later.[FB]

Store the future dates in “future”. Keep frequency set to days as default. Set the period argument to 365 as forecast into the future.

Check start and end data by applying the head() and tail()function:

##           ds
## 1 2007-12-10
## 2 2007-12-11
## 3 2007-12-12
## 4 2007-12-13
## 5 2007-12-14
## 6 2007-12-15
##              ds
## 3265 2017-01-14
## 3266 2017-01-15
## 3267 2017-01-16
## 3268 2017-01-17
## 3269 2017-01-18
## 3270 2017-01-19

The data starts with the historical data and ends with the additional 365th value.

9 Prophet FCST - create the prediction

Next step deploys the model to the future dates. Use the predict() function to create the predictions for all rows (historic and future) in the “future” dataframe. The result is a forecast object as dataframe which provides a column “yhat” containing the forecast. There are additional columns available to represent uncertainty intervals and seasonal components. [FB]

The function takes the data and trains the model on a specified period. Next It will predict your specified future period. Further Prophet will retrain the data on a bigger period, predict again which will repeat until the end point is reached. [Merwe]

Create a new dataframe assigned to the “forecast” variable. Apply predict() on the prophet model object to generate the forecast:

Show first and last 2 items of the prediction (yhat) with lower (yhat_lower) and upper (yhat_upper) limits. Recognize that the generated data start with the historic data and ends with the forecast data:

##           ds     yhat yhat_lower yhat_upper
## 1 2007-12-10 8.844728   8.230789   9.477446
## 2 2007-12-11 8.593232   7.994377   9.192219
## 3 2007-12-12 8.389042   7.787762   9.025573
## 4 2007-12-13 8.366916   7.741864   8.992488
## 5 2007-12-14 8.354872   7.733932   8.927045
## 6 2007-12-15 8.100137   7.441524   8.717138
##              ds     yhat yhat_lower yhat_upper
## 3265 2017-01-14 7.819364   7.129962   8.539835
## 3266 2017-01-15 8.201116   7.449641   8.893473
## 3267 2017-01-16 8.526128   7.788228   9.285155
## 3268 2017-01-17 8.313510   7.630772   8.997114
## 3269 2017-01-18 8.146114   7.432969   8.869195
## 3270 2017-01-19 8.158009   7.436022   8.920736

10 Prophet FCST - Plot Forecast

To visualize the forecast Prophet provides another built-in helper function plot() which only needs the model and the forecast as input [FB]:

Legend for the plot:

To be recognized: The Prophet forecast automatically detects the saisonality, here related to NFL seasons.

Alternative: To generate an interactive plot ggplotly() can be easily applied [Storozhenko]:

To visualize the forecast components Prophet provides one more built-in helper function which is prophet_plot_components(). The plot provides the forecast broken down into “trend”, “weekly” and “yearly” seasonality. [FB]

This plot visualizes how Prophet has modeled the trend and seasonality for the data:

Interpretation of the plot:

As Peyton Manning is an American football player, yearly seasonality is important, but also weekly seasonality is present. Further certain football events (like playoff games) can also be modeled. [Taylor/Letham 2]

Another way to create an interactive plot of the forecast is using Dygraphs command dyplot.prophet(m, forecast). [FB]

11 Fazit

"Prophet makes it easy for experts and non-experts to make a high quality forecasts. But Prophet is not for all forecasting problems the method to be used. Prophet is optimized for business forecast tasks with following characteristics:

[Taylor/Letham 2]

“We have found Prophet’s default settings to produce forecasts that are often accurate as those produced by skilled forecasters, with much less effort. With Prophet, you are not stuck with the results of a completely automatic procedure if the forecast is not satisfactory — an analyst with no training in time series methods can improve or tweak forecasts using a variety of easily-interpretable parameters. We have found that by combining automatic forecasting with analyst-in-the-loop forecasts for special cases, it is possible to cover a wide variety of business use-cases.” [Taylor/Letham 2]

“More details about the options available for each method are available in the docstrings, for example, via ?prophet or ?fit.prophet. This documentation is also available in the reference manual on CRAN.” [FB]


Tutorial available @ https://github.com/poetzl/Prophet-with-R